Saeid Alikhani: Curriculum Vitae

Saeid Alikhani Curriculum Vitae Department of Mathematics, Phone: +983531232702 Yazd University, Fax: +98 353 8210695 89195-741, Yazd, Iran, [email protected] [email protected] https://pws.yazd.ac.ir/alikhani/

1 Personal First name and Surname: Saeid Alikhani Nationality: Iranian Place of birth: Shemiran. Year of birth: 1974 Marital status: Married with two child.

2 Education • Ph.D. Mathematics (Graph Theory and Combinatorics), Institute for Mathematical Research, Universiti Putra Malaysia (UPM), Malaysia, March (2009). Thesis title: Dominating sets and domination polynomials of graphs. Supervisors: Professor Yee-hock Peng (E-mail: [email protected]) Professor Saieed Akbari, Sharif University of Technology (Email: s [email protected]). • M.Sc. Pure Mathematics, Shiraz University, Iran, 2000. Thesis title: Functions which are almost multipliers of Hilbert function spaces. Supervisor: Professor Bahman Youseﬁ. • B.Sc. Mathematics, Yazd University, Iran.

3 Research Interest Algebraic Graph Theory, Graph Polynomials, Zeros of Graph Polynomials, Combinatorics, Nano-structures, Mathematical Computation, Mathematical Chemistry, Mathematical Analysis, Mathematical Education.

4 Teaching Experience Undergraduate courses: Calculus I, Calculus II, Calculus III, Ordinary Diﬀerential Equations, Mathemat- ical Analysis I, Mathematical Analysis II, Numerical Computation, Topology, Mathematics Logic, Linear Algebra, Algebra I, Algebra II, Introduction to Combinatorics, Discrete Mathematics, Graph Theory, Coding Theory, English for Mathematics students. Graduate courses: Combinatorial Analysis and Graph Theory, Topics in Combinatorics, Combinatorial Analysis I, Algebraic Combinatorics, Advanced Graph Theory.

5 Employment • Professor of Mathematics, Yazd University, May 2018-Now. • Associate Professor of Mathematics, Yazd University, Sept 2013-May 2018. • Assistant Professor of Mathematics, Yazd University, Sept 2009-Sept 2013. • Non Resident Researcher, School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran (2011 - 2013). • Lecturer of Mathematics, Yazd University, 1999-2006.

1 6 Professional Activities • Manager of Research and Technology Aﬀairs, Yazd University, Dec 2017-Aug 2019. • Chair of department of Pure Mathematics, Yazd University, May 2016-Jan 2018. • Coach of Mathematics Team of Yazd University, Competition of Mathematics, Iranian Mathemat- ical Society (IMS), 2009-2013, 2019. • Coach of Mathematics team of Yazd University, International Mathematics Competition for Uni- versity Students, 2014, American University of Bulgaria, Blagoevgrad, Bulgaria. • Iranian Mathematical Society representative at Yazd University, 2016-now. • Controller of graduated school of Yazd University, 2010-now. • Reviewer of American Mathematical Society, 2010-now. • Reviewer of Zentralblatt, 2011-now. • Managing Editor of Journal “Algebraic Structures and Their Applications”, 2013-now.

7 Honors 1. Second rank in Mathematics Diploma in 1992. 2. First rank in B.Sc Mathematics at Yazd University in 1996. 3. First rank in M.Sc Pure Mathematics at Shiraz University in 1999. 4. Distinction of Instructor Mathematics at Yazd Technical Institute in 2004. 5. The academic representative of post graduate students club in Institute for Mathematical Research, UPM, 2007-2009. 6. Grant Fellowship from School of Graduate Studies, Universiti Putra Malaysia, 2007-2009. 7. Scholarship from Iran Ministry of Science, Research and Technology, 2008. (Unused) 8. First rank in PhD Mathematics (Graph Theory), Universiti Putra Malaysia, 2008. 9. The fourth rank in the best Asian South East Students Festival, Malaysia, 2008. 10. Distinguished researcher of department of Mathematics, Yazd University, Dec 2012. 11. Distinguished researcher of Yazd University, Dec 2013. 12. Higher researcher (second rank) in the among of Yazd sate researchers, Dec 2015. 13. Distinguished controller of graduated school of Yazd University, May 2016. 14. Distinguished Professor of Faculty of Sciences, Yazd University, May 2017. 15. 2019 higher researcher of Yazd University, Dec 2019.

2 8 Publications 8.1 Books 1. Calculus II (For Engineering and Science students), Yazd Publication, Yazd, 2003. In Persian. 2. Ordinary Diﬀerential Equations, Yazd University Publication (with Y. Sohrabi), Yazd, 2006. In Persian. 3. Calculus of multi-variable functions and vector analysis, (with M.J. Montazeri), Tadvin publication, Yazd, Sept 2010. In Persian. 4. Dominating sets and domination polynomials of graphs, LAP, Germany, Jan 2012. 5. Calculus of multi-variable functions, (with M.J. Montazeri), Nikooravesh publication, Yazd, 2015. In Persian. 6. Graph Theory and its applications, (with Dr. S. Jahari), Yazd University Publication, 2017. In Persian.

8.2 Journal Papers Papers published in Mathematics Journals 1. Distinguishing critical graphs, With S. Soltani, Journal of Information and Optimization Sciences, DOI: 10.1080/02522667.2020.1773614. 2. On some parameters related to matching of graph powers, with N. Soltani, Journal of Discrete Mathematical Sciences & Cryptography , to appear. 3. Total dominator chromatic number of graphs with speciﬁc construction, with N. Ghanbari, Open Journal of Discrete Applied Mathematics, (2020) 3(2), 1-7. 4. The cost number and the determining number of a graph, with S. Soltani, Journal of Algebraic Systems, to appear. 5. The chromatic distinguishing index of certain graphs, with S. Soltani, AKCE International Journal of Graphs and Combinatorics, Vol. 17, No. 1 (2020) 131-138. https://doi.org/10.1016/j.akcej.2019.03.008. 6. On the dominated chromatic number of certain graphs, with M.R. Piri, Transactions on Combina- torics, 9 (4) (2020) 217–230. 7. More on the sixth coeﬃcient of the matching polynomial in regular graphs, with N. Soltani, Malaysian Journal of Mathematical Sciences 14(2) (2020) 221-233. 8. The distinguishing number (index) and the domination number of a graph, with S. Soltani, Khayyam Journal of Mathematics, 6 (20) (2020) 199–205. 9. On the signed domination number of some Cayley graphs, with F. Ramezani and E. Vatandoost, Communication in Algebra, 48, No. 7 (2020) 2825-2832. https://doi.org/10.1080/00927872.2020.1722830. 10. An upper bound on the distinguishing index of graphs with minimum degree at least two, With S. Soltani, Algebraic Structures and Their Applications, 7(2) (2020) 51-62. 11. Trees with distinguishing index equal distinguishing number plus one, with S. Klavˇzar,F. Lehner, S. Soltani, Discussiones Mathematicae Graph Theory, 40 (2020) 875–884. 12. A graph which recognizes idempotents of a commutative ring, with H.R. Dorbidi, Journal of Alge- braic Systems, Vol. 7, No. 2, (2020), 143-154. 13. Domination polynomial of clique cover product of graphs, with S. Jahari, Algebra and Discrete Mathematics, Volume 28 (2019). Number 2, pp. 248-259.

3 14. Distinguishing number and distinguishing index of the join of two graphs, with S. Soltani, Mathe- matics Interdisciplinary Research, 4 (2019) 239-251. 15. The Distinguishing Number and the Distinguishing Index of Graphs from Primary Subgraphs, with S. Soltani, Iranian Journal of Mathematical Chemistry, 10 (3) (2019) 223–240. 16. Distinguishing number and distinguishing index of neighbourhood coronal of two graphs, Contri- butions to Discrete Mathematics, Vol. 14, No. 1 (2019) 175-189. 17. On the roots of total domination polynomial of graphs, with N. Jafari, Journal of Discrete Math- ematical Sciences and Cryptography, https://doi.org/10.1080/09720529.2019.1616908, 23(4) (2020) 795-807. 18. The distinguishing number and the distinguishing index of co-normal product of two graphs, with S. Soltani, Ratio Mathematica, Volume 31 (2019), 79–88. 19. On the roots of total domination polynomial of graphs, II, with N. Jafari, Facta Universitatis, Series: Mathematics and Informatics, Vol. 34, No 4 (2019), 659-669. 20. On the zero forcing number of generalized sierpinski graphs, with F. Ramezani, E. Vatandoost, Transactions on Combinatorics, Vol. 8 No. 1 (2019), 41–50. 21. On k-total dominating graphs, with Mynhardt and Fatehi, The Australasian Journal of Combina- torics, 73(2) (2019), 313-333. 22. Symmetry breaking in planar and maximal outerplanar graphs, with S. Soltani, Discrete Mathe- matics, Algorithms and Applications (DMAA), Vol. 10, No. 6 (2019) 1950008 (11 pages). 23. On the k-neighborhood coloring of the corona and join products of graphs, with I. Rajasingh and S. Soltani, Journal of Information and Optimization Sciences, Vol. 40 (2019), No. 3, pp. 805–811. 24. The spectral determinations of two classes of connected multicone graphs, With Zeydi, Behmaram, Oboudi, Thulasiraman, Zhao and Beineke, AKCE International of Graphs and Combinatorics, doi:10.1016/j.akcej.2018.11.002. 25. More on the total dominator chromatic number of a graph, with Nima Ghanbari, Journal of Infor- mation and Optimization Sciences, Vol. 40 (2019), No. 1, pp. 157-169. 26. Trees with distinguishing number two, with S. Soltani, AKCE International Journal of Graphs and Combinatorics, 16 (2019) 280-283. doi: 10.1016/j.akcej.2018.02.001. 27. Some new results on the total domination polynomial of a graph, with N. Jafari, Ars Combin., to appear. Available at https://arxiv.org/abs/1705.00826. 28. Stabilizing the distinguishing number of a graph, with S. Soltani, Communications in Algebra, 2018, Vol. 46, No. 12, 5460–5468. 29. Total dominator chromatic number of some operations on a graph, with N. Ghanbari, Bulletin of Computational Applied Mathematics, Vol.6, No.2 (2018) 9-20. 30. The distinguishing number and the distinguishing index of line and graphoidal graph(s), with S. Soltani, AKCE International Journal of Graphs and Combinatorics, (2018) https://doi.org/10.1016/j.akcej.2018.08.006. 31. Distinguishing number and distinguishing index of lexicographic product of two graphs, with S. Soltani, Discussiones Mathematicae Graph Theory, 38 (2018) 853-865. 32. Distinguishing number and distinguishing index of some operations on graphs, with Samaneh Soltani, J. Inf. Optim. Sci., Vol. 39 (2018), No. 5, pp. 1047-1059. DOI:10.1080/02522667.2017.1294304. 33. Some families of graphs with no nonzero real domination roots, with S. Jahari, Electronic Journal of Graph Theory and Applications, 6 (1) (2018), 17-28.

4 34. Domination polynomial of lexicographic product of speciﬁc graphs, with S. Jahari, Journal of In- formation and Optimization Sciences, (2018) DOI: 10.1080/02522667.2016.1257676. 35. Computation of Gutman index of some cactus chains, with A. Sadeghiyeh, N. Ghanbari, Electronic Journal of Graph Theory and Applications 6(1) (2018), 138-151. 36. Distinguishing number and distinguishing index of natural and fractional powers of graphs, with S. Soltani, Bulletin of Iranian Mathematical Society, Vol. 43 (2017), No. 7, pp. 2471-2482. 37. Distinguishing number and distinguishing index of certain graphs, with S. Soltani, Filomat, 31:14 (2017), 4393–4404. 38. Total domination polynomial of graphs from primary subgraphs, with Nasrin Jafari, Journal of Algebraic Systems, Vol. 5, No. 2, (2017) pp 127-138. 39. The distinguishing number of Kronecker product of two graphs, ICTCSDM 2016, LNCS 10398, pp. 341-346, 2017. DOI: 10.1007/978-3-319-64419-6 44 40. On inverse sum indeg index of a graph, with N. Ghanbari, R. Manaviyat and S. Mirvaklili, Journal of Advanced Mathematics and Applications, (2017) Vol. 6, 1-6. 41. On the structure of dominating graphs, with D. Fatehi and S. Klavˇzar,Graphs and Combinatorics, (2017) 33: 665-672. doi:10.1007/s00373-017-1792-5. 42. Hosoya polynomial of some cactus chains, with A. Sadeghieh, N. Ghanbari, A.J.M. Khalaf, Cogent Mathematics, (2017), 4: 1305638. 43. The k-independent graph of a graph, with D. Fatehi and Abdul Jalil Khalaf, Advances and Appli- cations in Discrete Mathematics, Volume 18, Number 1, (2017), Pages 45–56. 44. Some families of graphs whose domination polynomial are unimodal, with S. Jahari, Iranian J. Math. Sci. Inf., Vol. 12, No. 1 (2017), pp 69–80. 45. More on domination polynomial and domination root, with Emeric Deutsch, Ars Combin., Vol. 134, (2017) 215-232. 46. The distinguishing chromatic number of bipartite graphs of girth at least six, Algebraic Structures and Their Applications, Vol 3, no. 2, (2016) 81-87. 47. Independence roots and independence fractals of book graphs, with S. Jahari, and R. Hasni, Ad- vances and Applications in Mathematical Sciences, Volume 16, Issue 1, (2016) 19-33. 48. Counting the number of weakly connected dominating sets of graphs, with M. Mehryar and S. Jahari, Malaysian J. Math. Sciences, 10(3) (2016) 299-308. 49. Distinguishing number and distinguishing index of join of two speciﬁc graphs, with S. Soltani and Abdul Jalil Khalaf, Advances and Applications in Discrete Mathematics, Vol 17, No 4 (2016) 467- 485. 50. Weakly connected domination stability in graphs, with M. Mehryar, Advances and Applications in Mathematical Sciences , Volume 16, Issue 2, (2016) 79-87. 51. Domination polynomial of generalized book graphs, with S. Jahari, Journal of Mathematical Ex- tension, Vol 10, No. 3 (2016) 35–45. 52. On the domination polynomials of friendship graphs, with J.I. Brown and S. Jahari, Filomat, 30:1 (2016), 169-178. 53. On D-equivalence classes of some graphs, with S. Jahari, Bulletin of the Georgian National Academy of Sciences, with S. Jahari, vol. 10, no. 1 (2016) 12-19. 54. Independent sets of some graphs associated to commutative rings, with S. Mirvakili, Algebraic Structures and Their Applications, Vol 1, no 2 (2014) 85-103.

5 55. On the edge cover polynomial of certain graphs, with S. Jahari, Journal of Algebraic Systems, Vol. 2, No. 2, (2014), pp 103-114 56. On the barycentric labeling of certain graphs, with Zeynab Amirzadeh, J. Discrete Math., Volume 2014, Article ID 482635, 4 pages. 57. Domination polynomials of k-tree related graphs, with S. Jahari, Int. J. Combin., Volume 2014 (2014), Article ID 390170, 5 pages http://dx.doi.org/10.1155/2014/390170. 58. Some new approaches for computation of domination polynomials, with E. Mahmoudi and M.R. Oboudi, J. Math. Ext., Vol 8, No 2, 1-9. 59. On the Randićenergy of specific graphs, with N. Ghanbari, Applied Mathematics and Computation, 269 (2015)722-730. 60. More on energy and Randićenergy of specific graphs, with N. Ghanbari, Journal of Mathematical Extension, Vol. 9, No. 3, (2015), 73–85. 61. On k-edge-magic labelings of maximal outerplanar graphs, with G.C. Lau, W. Kocay, S.M. Lee, AKCE International Journal of Graphs and Combinatorics, 12 (2015), pp. 40-46. 62. Choromaticity of Tur’angraphs with at most three edges deleted, with Y.H. Peng and G.C. Lau, Iranian J. Math. Sci. Inf., Vol. 9, No. 2 (2014), pp 45-64. 63. Introduction to Domination Polynomial of a Graph, with Yee-hock Peng, Ars Combinatoria, vol. 114 (2014) pp. 257-266. 64. On the k-edge magic graphs, with W. Kocay, G.C. Lau, S.M. Lee, Electronic Notes in Discrete Mathematics 45 (2014) 35-41. 65. On the domination polynomial of some graph operations, ISRN Combinatorics, Volume 2013, Ar- ticle ID 146595, 3 pages http://dx.doi.org/10.1155/2013/146595. 66. Graphs whose certain polynomials have few distinct roots, ISRN Discrete Mathematics, Volume 2013, Article ID 195818, 8 pages. 67. On the unimodality of independence polynomial of certain classes of graphs, with F. Jafari, Trans- actions on Combinatorics, Vol. 2 No. 3 (2013), pp. 33-41. 68. Some new results on domination roots of a graph, Electronic Notes in Discrete Mathematics, 43 (2013) 425-430. 69. Hosoya and Merrifield-Simmons indices of some classes of corona of two graphs, with M.A. Iran- manesh and M.H. Reyhani, Transaction on Combinatorics, Vol. 1 No. 4 (2012) 1-7. 70. Fourth Order and Fourth Sum Connectivity Indices of Polyphenylene Dendrimers, with R. Hasni and N.E. Arif, Journal of Applied Sciences, 12 (2012) 2279-2282. 71. A method for calculating the girth of Tanner graph in LDPC codes, with M. Ahmadi, H. Dehghani and R.Hasni, Trends in Applied Sciences Research, (2012), 7: 929-934. 72. On the value of Independence and domination polynomial at specific points, With M.H. Reyhani, Transactions on Combinatorics, Vol. 01 No. 2 (2012), pp. 49-57. 73. An admissible estimator of the rth power of a bounded scale parame- ter in a subclass of the expo- nential family uder entropy loss function with E.Mahmoudi and H. Torabi, Ukrainian Mathematical Journal, (2012) 64(8) 1138-1147. 74. Construction of dominating sets of certain graphs, with Y.H. Peng, J. Discrete Math., Volume 2013 (2013), Article ID 587196, 7 pages http://dx.doi.org/10.1155/2013/587196.

75. On the domination polynomials of non P4-free graphs, Iranian Journal of Mathematical Sciences and Informatics, Vol. 8, No. 2 (2013) 49-55.

6 76. On the number of outer connected dominating sets of graphs, with M.H. Akhbari, R. Hasni and C. Eslahchi, Utilitas Math, Volume 91 (2013) 99-107. 77. The domination polynomial of a graph at −1, Graphs and Combinatorics, (2013) 29:1175-1181. 78. On the D-equivalence Class of a Graph, Bulletin of the Georgian national academy of sciences, vol. 6, no. 1 (2012) 43-46. 79. Algebraic integers as chromatic and domination roots, with Roslan Hasni, Inter, J. Combinatorics, Volume 2012 (2012), Article ID 780765, 8 pages. 80. Domination polynomial of cubic graphs of order 10, with Yee-hock Peng, Turk. J. Math. 35 (2011) 355–366. 81. Construction of high girth and two column weight LDPC code based on graph, with Ahmadi, Dehghani and Hasni, J. Applied Sciences, Volume 12, Number 8 (2012) 798-801. 82. On the graphs with four distinct domination roots, international journal of computer mathematics, Vol 88, No 13,(2011) 2717-2720. 83. On the Recurrence Relation with two Variable, with Yee-hock Peng and Roslan Hasni, Australian Journal of Basic and Applied Sciences, 5(12) (2011) 2054-2059. 84. On Chromatic Uniqueness Of Complete 6-Partite Graphs, with A. Shamana, R. Hasni, International Mathematical Forum, Vol. 6 (2011) no. 56, 2795 - 2814. 85. Independence Roots and Independence Fractals of Certain Graphs, with Yee-hock Peng, Journal of Applied Mathematics and computing, vol. 36, no. 1-2 (2011) 89–100. 86. Dominating sets and Domination Polynomials of Certain Graphs, II, with Yee-hock Peng, Opuscula Mathematica, Vol 30, No 1 (2010) 37-51. 87. On the domination polynomials of complete n-partite graphs, with H. Torabi, World Applied Sci- entiﬁc Journal 9 (1) (2010) 23-24. 88. Characterization of graphs using domination polynomials, with Saieed Akbari and Yee-hock Peng, European J. of Combinatorics, Vol 31 (2010) 1714-1724. 89. On the zeros of domination polynomial of a graph, with S. Akbari, M. R. Oboudi and Y.H. Peng, Contemporary Mathematics (devoted to the IPM 20- Combinatorics 2009 Conference), American Mathematical Society, Volume 531 (2010) 109-115. 90. Energy of graphs, matroids and Fibonacci numbers, with M.A. Iranmanesh, Iranian Journal of Mathematical Sciences and Informatics, Vol. 5, No. 2 (2010), pp 55-60. 91. Chromatic Zeros and the Golden Ratio, with Yee-hock Peng, Applicable Analysis and Discrete Mathematics, Vol 3, No 1 (2009) 120-122. (Zbl pre05642658) 92. Chromatic Roots and Generalized Fibonacci Numbers, with Yee-hock Peng, Applicable Analysis and Discrete Mathematics, Vol 3, No2 (2009) 330-335. (Zbl pre05656402) 93. Dominating sets and Domination Polynomials of Paths, with Yee-hock Peng, International Journal of Mathematics and Mathematical Science, Vol 2009, Article ID 542040. (Zbl 1177.05081) 94. Dominating Sets of Centipedes, with Yee-hock Peng, Journal of Discrete Mathematical Sciences and Cryptography, Vol 12, No 4, 411-428, (2009). 95. Dominating sets and domination polynomial of cycles, with Yee-hock Peng, Global Journal of Pure and Applied Mathematics, , Vol 4, No 2 (2008) 151- 162. 96. Some Extesion in Homological Algebra, with Ali asghar Onsori, International Journal of Algebra, Vol. 2, no. 9 (2008) 403-411. (MR2443817). 97. On the Domination Number of Some Graphs, with Yee-hock Peng and Kamel. Areﬃn M. Atan, International Mathematical Forum, 3 no. 38 (2008) 1879 - 1884. (MR2470646)

7 Papers published in Mathematical Chemistry Journals 98. The distinguishing number and the distinguishing index of graphs from primary subgraphs, with S. Soltani, Iran. J. Math.Chem., 10 (3) (2019) 223–240. 99. On the saturation number of graphs, with N. Soltani, Iran. J. Math. Chem., 9 (4) (2018) 289-299. 100. Anti-forcing number of some speciﬁc graphs, with Neda Soltani, Iranian J. Math. Chem., 8(3) (2017) 313-325. 101. The neighbourhood polynomial of some nanostructures, with E. Mahmoudi, Iran. J. Math. Chem., Vol. 5, December 2014, pp. 21–25.

102. Harary Index of Dendrimer Nanostar NS2[n], with M.A. Iranmanesh and H. Taheri, MATCH Communications in Mathematical and in Computer Chemistry, Vol 71, no 2 (2014) 383-394.

103. Hosoya Polynomial of Dendrimer Nanostar D3[n], with M.A. Iranmanesh, MATCH Communica- tions in Mathematical and in Computer Chemistry, Vol 71, no 2 (2014) 395-405. 104. On the roots of Hosoya polynomial of a graph, with Reyhani and Iranmanesh, Iran. J. Math. Chemist., Vol. 4, No.2, (2013) pp. 231–238. 105. Collaborations between the Iranian School of Mathematical Chemistry and the Late Professor Ante Graovac, Iran. J. Math. Chem., Vol. 4, No. 1 (2013) 137–142. 106. Harary index of an inﬁnite family of dendrimer nanostar, with Ch. Eslahchi and M.A. Iranmanesh, Studia Universitatis Babes-Bolyai Chemia, LVIII, 3 (2013) 111-118. 107. Chromatic Polynomials of Some Nanostars, with M.A. Iranmanesh, Iranian Journal of Mathemat- ical Chemistry, Vol. 3, No. 2 (2012) 127-135. 108. Hosoya Polynomial of an Inﬁnite Family of Dendrimer Nanostar, with Ch. Eslahch and M. H. Akhbari, Iranian Journal of Mathematical Chemistry, Vol. 2, No. 1 (2011) pp. 71-79.

Papers published in nanoscitech journals 109. On the edge energy of some speciﬁc graphs, with F. Mohebbi, Journal of Mathematical Nanoscience, 7 (1-2) (2017) 15-21. 110. On the Atom-Bond Connectivity Index of Some Families of Dendrimers, with R. Hasni and N. Arif, J. Computational and Theoretical Nano., Vol. 11 (2014) 14. 111. Eccentric connectivity polynomials of some families of dendrimers, with Arif and Roslan, J. Com- putational and Theoretical Nano., Volume 11, Number 2 (2014) 450-453(4). 112. Second order and third order connectivity indices of a polyphenylene dendrimer, Digest Journal of Nanomaterials and Biostructures, vol. 8, no. 2 (2013) 899-903. 113. On the independence polynomial of certain molecular graphs, with M. H. Reyhani and Roslan Hasni, Digest Journal of Nanomaterials and Biostructures Vol. 7, No 1 (2012) 193 - 197. 114. Bound of energy of certain polyphenylene dendrimers, with Rosaln and Lau, Journal of Computa- tional and Theoretical Nanoscience, (2012) Vol. 9, No. 8., 1055-1058. 115. Chromatic Polynomials Of Certain Polyphenylene Dendrimers with Arif and Roslan, J. Comput. Theor. Nanosci, (2012) Vol. 9, No. 4. 116. Hosoya index and Fibonacci numbers, Journal of Mathematical nanoscience, Vol 1, no 1 (2011) 51-57. 117. Eccentric Connectivity Polynomials of an Inﬁnite Family of Dendrimers, with M. A. Iranmanesh, Digest Journal of Nanomaterials and Biostructures, Vol 6, No 1 (2011) 253-257.

8 118. On the eccentric connectivity index of certain molecular graphs, with Roslan Hasni and M.A. Iranmanesh, Digest Journal of Nanomaterials and Biostructures, Vol 6, No 2 (2011) 699-702. 119. Chromatic polynomials of certain families of dendrimers nanostars with Roslan and Arif, Digest J. Nano. Bio. Vol. 6, No 4 (2011) 1551-1556. 120. Chromatic polynomials of some nanotubes, with M. A. Iranmanesh, Digest Journal of Nanomate- rials and Biostructures, Vol. 5, No 1, (2010) p. 1-7. 121. Chromatic polynomials of some dendrimers, with M.A. Iranmanesh, Journal of Computational and Theoretical Nanoscience, Volume 7, Number 11, (2010) , pp. 2314-2316(3) .

Papers published in material science journals 122. Counting the number of dominating sets of cactus chains, with S. Jahari and M. Mehryar and R. Hasni, Optoelectronics and Advanced Materials Rapid Communications, Vol. 8, No. 9-10, Septem- ber October 2014, 955 - 960. 123. On the independent sets of some nano-structures, with F. Jafari, Optoelectronics and Advanced Materials Rapid Communications, Vol. 6, No. 9-10 (2012) 911-913. 124. Bounds for energy of some nanostars dendrimers, with Roslan Hasni and M.H. Akhbari, Optoelec- tronics and Advanced Materials Rapid Communications, Vol. 5, No. 10 (2011) 1115 - 1117.

8.3 Paper presented in Conferences and Seminars 1. Pseudofactor of Hilbert function spaces, 11th Mathematical Analysis and Application Seminar in Iran, 2001, (In English) 2. Characters of distinguished professor of Mathematics (In a memory of Prof. Dr. Karim Seddighi), 6th Iranian Mathematics Teaching Conference, Shiraz, Iran, 2003. In Persian. 3. The joy of Mathematics, Mathematics and Physics Conference, Taft, Payam Noor University, 2003. In Persian. 4. The Multipliers and pseudomultipliers of Fock space, 36th Iranian Mathematics Conference, Yazd, Iran, 2005. (In English). 5. Chromatic polynomials of graphs and golden Ratio, 200thWeekly Seminar in Institute for Mathe- matical Research, UPM, Malaysia, 2006. (In English). 6. Chromatic roots and Fibonacci numbers, 214th Weekly Seminar in Inspem, 214th weekly seminar , UPM, 16 Feb 2007. (In English). 7. Roots of Independence polynomial of paths and cycles, The First IPM Conference on Algebraic Graph Theory, 25 April 2007, IPM, Tehran- Iran. (In English). 8. Roots of independence polynomials and independence fractals of certain graphs, 243th Inspems Weekly Seminar, Institute for Mathematical Research, UPM, Sept 2007. (In English). 9. A new polynomial for paths and cycles, International Conference in Mathematical Sciences, 28-29 Nov 2007, UKM, Malaysia. (In English). 10. Dominating sets and new polynomial of certain graphs, 258th Inspem Weekly Seminar, UPM, 4 January 2008. (In English). 11. Chromatic roots and Fibonacci numbers, Zeros of Graph Polynomials Workshop, 21-25 Jan 2008, Isaac Newton Institute for Mathematical Sciences, Cambridge University, UK. (In English).

9 12. On the zeros of Domination Polynomials of Graphs, IPM 20, Combinatorics 2009, 15-21 May 2009, IPM, Tehran, Iran. (In English). 13. Chromatic polynomials of Some Nanotubes, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, August 2009. (In English). 14. Recurrence relations with two variables in domination theory, 40th Annual Iranian Mathematics Conference, Sharif University of Technology, August 2009. (In English). 15. Chromatic polynomials of some nanostars, 3th Iranian Mathematical Chemistry Conference, Tar- biat Modares University, Tehran, Iran, Feb 2010. (In English). 16. Energy of graphs, Matroids and generalized Fibonacci numbers, the ﬁrst Iranian chemical graph theory, Shahid Rajaei Teacher Training University, 15, 16 Oct 2010. (In English). 17. On the eccentric connectivity polynomial of certain graphs, the ﬁrst Iranian chemical graph theory, Shahid Rajaei Teacher Training University, 15, 16 Oct 2010. (In English). 18. On the eccentric connectivity polynomial of some graph operations, the 4th Iranian Mathematical Chemistry conference, Dezful Azad University, 5,6 Feb 2011. (In English). 19. On the value of some graph polynomials at -1, IUT Combinatorics Day, Isfahan University of Technology, 23 Feb 2011. (In English). 20. Algebraic integers as chromatic and domination roots, Third conference on Algebraic Combina- torics, University of Isfahan, 24-25 Feb 2011. (In English). 21. Graphs with few domination roots, 7th Slovenian International conference on Graph Theory, 19-25 Jun 2011, Bled, Slovenia. (In English). 22. Chromatic Polynomials Of Certain Polyphenylene Dendrimers, 2th Istanbul Conference on Design theory, combinatorics and Graph theory, 27Jun-1 July, Istanbul, Turkey. (In English). 23. On the some parameters of random graphs, with H. Torabi, 2th Istanbul Conference on Design theory, combinatorics and Graph theory, 27Jun-1 July, Istanbul, Turkey. (In English). 24. Graphs which their certain polynomials have few distinct roots, First conference on Algebraic graph theory and Second conference on Chemical Graph theory, Shahid Rajaei University, 20-22 Oct 2011, Tehran. (In English). 25. On the unimodality of two graph polynomials, with F. Jafari, First conference on Algebraic graph theory and Second conference on Chemical Graph theory, Shahid Rajaei University, 20-22 Oct 2011, Tehran. (In English). 26. Outer connected domination polynomial of a graph, 4th Algebraic Combinatorics Conference, Bu- Ali Sina University, 2-3 Nov 2011. (In English). 27. On the addressing problem for graphs, with M. Ghaasemi and M. Ghadiri, 4th Algebraic Combi- natorics Conference, Bu-Ali Sina University, 2-3 Nov 2011. (In English). 28. On the Hosoya polynomials of nano-structures, 5th Conference and Workshop on Mathematical Chemistry, Payame Noor Yazd University, Yazd, 15-17 Feb 2012. (In English). 29. Hosoya index and Fibonacci numbers, with M. A. Iranmanesh, 5th Conference andWorkshop on Mathematical Chemistry, Payame Noor University, Yazd, 15-17 Feb 2012. (In English). 30. Wiener index of composition of graphs based on distance matrix, with M. A. Iranmanesh and S. Shayegh, 5th Conference and Workshop on Mathematical Chemistry, Payame Noor University, Yazd, 15-17 Feb 2012. (In English). 31. On the maximum independent sets of some nano-structures, with F. Jafari, 5th Conference and Workshop on Mathematical Chemistry, Payame Noor Yazd University, Yazd, 15-17 Feb 2012. (In English).

10 32. Estimating Estrada index for some nanostar dendrimers, with Z. Mohammad panah, 5th Conference and Workshop on Mathematical Chemistry, Payame Noor Yazd University, Yazd, 15-17 Feb 2012. (In English). 33. Hosoya index and Fibonacci numbers, With F. Sharifi, 5th Conference and Workshop on Mathe- matical Chemistry, Payame Noor Yazd University, Yazd, 15-17 Feb 2012. (In English). 34. Harary index of an infinite family of dendrimer nanostar NS2[n], with Ch. Eslahchi and H. Taheri, 5th Conference and Workshop on Mathematical Chemistry, Payame Noor Yazd University, Yazd, 15-17 Feb 2012. (In English). 35. Recursive formula for domination polynomial of a graph, The first conference on combinatorics and its applications, Khansar, Iran, 18-19 May 2012. (In English). 36. On the independence polynomial of power of graphs, with F.Jafari, The first conference on combinatorics and its applications, Khansar, Iran, 18-19 May 2012. (In English). 37. On the Hosoya index of some specific graphs, with F. Sharifi, The first conference on combinatorics and its applications, Khansar, Iran, 18-19 May 2012. (In English). 38. Fourth order and fourth sum connectivity indices of a polyphenylene denrimer with M.H. Reyhani, The first conference on combinatorics and its applications, Khansar, Iran, 18-19 May 2012. (In English). 39. On the k-edge magic graphs, with G.C. Lau and S. Mirvakili, 5th Conference on Algebraic Combi- natorics and Graph Theory Kashan, 3-4 July 2012, Kashan, Iran. (In English). 40. On chromatic uniqueness of certain partite graphs, with R. Hasni and S. Mirvakili, 5th Conference on Algebraic Combinatorics and Graph Theory Kashan, 3-4 July 2012, Kashan, Iran. (In English). 41. Graphs whose independence and domination polynomials have real roots, 43th Iranian Mathematics Conference, 27-30 Aug 2012, Tabriz, Iran. (In English). 42. On the domination polynomial of Dutch-Windmill graphs, ICTP-IPM workshop and conference in Combinatorics and Graph Theory, Sept 2012, Trieste, Italy. (In English). 43. A survey on Hosoya polynomial, with M.A. Iranmanesh, The 6th Conference and Workshop on Mathematical Chemistry Persian Gulf University, Bushehr, 13-14 Feb. 2013 (In English). 44. Computation of some topological indices of graphs associated to small commutative rings, with S. Mirvakili, The 6th Conference and Workshop on Mathematical Chemistry Persian Gulf University, Bushehr, 13-14 Feb. 2013 (In English). 45. The neighbourhood polynomial of some nanostructures, with H. Poormohammadi, The 6th Con- ference and Workshop on Mathematical Chemistry Persian Gulf University, Bushehr, 13-14 Feb. 2013 (In English). 46. A new Algorithm for Constructing Rooted Phylogenetic Networks from Triplets, with H. Poormo- hammadi, The 6th Conference and Workshop on Mathematical Chemistry Persian Gulf University, Bushehr, 13-14 Feb. 2013 (In English). 47. Eccentric Connectivity Polynomial of popam and pamam dendrimers, with V. Rahmani, The 6th Conference and Workshop on Mathematical Chemistry Persian Gulf University, Bushehr, 13-14 Feb. 2013 (In English). 48. On the roots of Hosoya polynomial of specific graphs, with H. Taheri, The 6th Conference and Workshop on Mathematical Chemistry Persian Gulf University, Bushehr, 13-14 Feb. 2013 (In English). 49. Independence fractals of Dutch-Windmill graphs, The 44th Annual Iranian Mathematics Confer- ence, Ferdowsi University of Mashhad, Aug 2013 (In English).

11 50. On the roots of Hit polynomials of speciﬁc graphs, with S. Jahari, The 44th Annual Iranian Math- ematics Conference, Ferdowsi University of Mashhad, Aug 2013 (In English). 51. On the atom-bond connectivity index of a graph, with R. Nejati, The 44th Annual Iranian Mathe- matics Conference, Ferdowsi University of Mashhad, Aug 2013 (In English). 52. Recent results on domination polynomial and domination root, Frontiers in Mathematical Sciences, 2nd Conference, Sharif University of Technology, 25 Dec 2013 (In English). 53. On the unimodality of domination polynomials of graphs, with S. Jahari, The 45th Annual Iranian Mathematics conference, Semnan, 26-29 Aug 2014 (In English). 54. On the some topological indices of zero-divisor graphs of C(X), with M.R. Ahmadi zand and Z. Hajizadeh, The 45th Annual Iranian Mathematics conference, Semnan, 26-29 Aug 2014 (In English). 55. Counting the number of dominating sets of chain triangular cacti graphs, with S. Jahari and M. Mehryar, The 45th Annual Iranian Mathematics conference, Semnan, 26-29 Aug 2014 (In English). 56. Domination polynomials of products with complete graphs, The 7th Algebraic Combinatorics Con- ference of Iran, Mashhad, 16-17 Oct 2014 (In English). 57. Domination polynomials of k-tree related graphs, with S. Jahari, The 7th Algebraic Combinatorics Conference of Iran, Mashhad, 16-17 Oct 2014 (In English).

58. On the n-dominating graph of Kn, with D. Fatehi, The 7th Algebraic Combinatorics Conference of Iran, Mashhad, 16-17 Oct 2014 (In English). 59. On the number of k-flows of graphs, with N. Jafari, The 7th Algebraic Combinatorics Conference of Iran, Mashhad, 16-17 Oct 2014 (In English). 60. A-barycentric magic labelings of graphs, Eight International Workshop on Graph Labeling (IWOGL 2014), Kalasalingam University, India, 3-6 Dec 2014. 61. On the Randic characteristic polynomial of specific graphs, with N. Ghanbari, The First Conference on Computational Group Theory, Computational Number Theory and Applications, University of Kashan, December 17-19, 2014 (In English). 62. Distance Magic and Barycentric Magic Graphs, The First Conference on Computational Group Theory, Computational Number Theory and Applications, University of Kashan, December 17-19, 2014 (In English). 63. On the energy and Randic energy of certain cubic graphs, with N. Ghanbari, 7th Conference and workshop on Mathematical Chemistry, Payame Noor University, 4-6 Feb 2015, Saveh, Iran (In English). 64. More results on inverse sum indeg index of a graph, with N. Ghanbari, 7th Conference and workshop on Mathematical Chemistry, Payame Noor University, 4-6 Feb 2015, Saveh, Iran (In English). 65. Study of d-antimagic labeling for some nanostructures, with M.A. Iranmanesh, 7th Conference and workshop on Mathematical Chemistry, Payame Noor University, 4-6 Feb 2015, Saveh, Iran (In English). 66. Bounds for Seidel energy of some dendrimers, with M. Shafiei and S. Shayegh, 7th Conference and workshop on Mathematical Chemistry, Payame Noor University, 4-6 Feb 2015, Saveh, Iran (In English). 67. On the n-dominating graph of specific graphs, IPM Combinatorics and Computing Conference 2015, Tehran, 29-30 April 2015. 68. Domination polynomial of generalized friendship graphs, with S. Jahari, 46th Annual Iranian Math- ematics Conference, Yazd, 25-28 August 2015.

12 69. On the rainbow connection number of certain graphs, with S. Roohani, 46th Annual Iranian Math- ematics Conference, Yazd, 25-28 August 2015. 70. k-dominating and k-independent graph of specific graphs, with D. Fatehi, Third Gdansk Workshop on Graph Theory, 16-18 Sept 2015, Gdansk, Poland. 71. Graphs with complex domination roots, with S. Jahari, 16 th workshop on Graph, Theory, Colour- ing, Independence and Domination (CID), 20-25 Sept 2015, Szklarska Poreba, Poland. 72. Super antimagic labeling of type (1, 1, 0) for graphs with specific constructions, 8th Conference and workshop on Algebraic Combinatorics and Graph Theory, 7-8 October 2015, Qazvin, Iran. 73. On D-equivalence class of Barbell graphs, with S. Jahari, 8th Conference and workshop on Algebraic Combinatorics and Graph Theory, 7-8 October 2015, Qazvin, Iran. 74. More on the Stirling and Bell numbers of certain graphs, 8th Conference and workshop on Algebraic Combinatorics and Graph Theory, 7-8 October 2015, Qazvin, Iran. 75. On the number of weakly connected dominating sets of graphs, with S. Jahari and M. Mehryar, 8th Conference and workshop on Algebraic Combinatorics and Graph Theory, 7-8 October 2015, Qazvin, Iran. 76. Introduction to k-independent graph of a graph, with D. Fatehi, 8th Conference and workshop on Algebraic Combinatorics and Graph Theory, 7-8 October 2015, Qazvin, Iran. 77. More on the maximal independent sets of graphs, with M. Shafiei, 8th Conference and workshop on Algebraic Combinatorics and Graph Theory, 7-8 October 2015, Qazvin, Iran. 78. k-rainbow domination and some related problems, 47th Annual Iranian Mathematics Conference, Karaj, Kharazmi University, Yazd, 28-31 August 2016, Iran. 79. Counting γ-sets of Cartesian product with complete graphs, 47th Annual Iranian Mathematics Conference, Karaj, Kharazmi University, Yazd, 28-31 August 2016, Iran. 80. On the total domination polynomial of graphs, with N. Jafari, International Conference on Combi- natorics, Cryptography and Computation Iran University of Science and Technology, Nour branch, Sept 1-2, 2016. 81. On the some kind of domination stability in graphs, with M. Mehryar, International Conference on Combinatorics, Cryptography and Computation Iran University of Science and Technology, Nour branch, Sept 1-2, 2016. 82. On the graphs related to reconfiguration problems, International Conference on Mathematical Com- puter Engineering (ICMCE 2016) Chennai, 16-17 Dec 2016, India. 83. Distinguishing number and distinguishing index of Kronecker product of two graphs, Interna- tional Conference on Theoretical Computer Science and Discrete Mathematics, 18-21 Dec 2016, Kalasalingam University, India. 84. Proof of a conjecture on the distinguishing index of a graph, with Samaneh Soltani, The 9th Graph Theory and Algebraic Combinatorics Conference of Iran, Feb. 22-23, 2017, Amirkabir University of Technology, Tehran, Iran. 85. Total dominator chromatic number of some graph operations, with Nima Ghanbari, The 9th Graph Theory and Algebraic Combinatorics Conference of Iran, Feb. 22-23, 2017, Amirkabir University of Technology, Tehran, Iran. 86. On the number of dominating sets of power of graphs, with Maryam Shafiei, The 9th Graph The- ory and Algebraic Combinatorics Conference of Iran, Feb. 22-23, 2017, Amirkabir University of Technology, Tehran, Iran. 87. On D-equivalence classes of some families of graphs, with S. Jahari, The 9th Graph Theory and Algebraic Combinatorics Conference of Iran, Feb. 22-23, 2017, Amirkabir University of Technology, Tehran, Iran.

13 88. Irrelevant edges for some graph polynomials, with N. Jafari, The 9th Graph Theory and Algebraic Combinatorics Conference of Iran, Feb. 22-23, 2017, Amirkabir University of Technology, Tehran, Iran. 89. Distinguishing index and distinguishing number versus detection number, with Samaneh Soltani, Colourings, Independence and Domination (CID 2017), September 17-22, 2017, Piechowice, Poland. 90. On the total dominator chromatic number of graphs, with N. Ghanbari, Colourings, Independence and Domination (CID 2017), September 17-22, 2017, Piechowice, Poland. 91. Some of applications of combinatorics in architecture, with M. Adl, 10th Graph Theory and Alge- braic Combinatorics Conference (GTACC10), 17-18 Jan 2018, Yazd, Iran. 92. The total dominating equivalences of some graphs, with N. Jafari, 10th Graph Theory and Algebraic Combinatorics Conference (GTACC10), 17-18 Jan 2018, Yazd, Iran. 93. More on the matching polynomial of regular graphs, with N. Soltani, 10th Graph Theory and Algebraic Combinatorics Conference (GTACC10), 17-18 Jan 2018, Yazd, Iran. 94. On The Total Dominator Edge Chromatic Number, with N. Ghanbari, 10th Graph Theory and Algebraic Combinatorics Conference (GTACC10), 17-18 Jan 2018, Yazd, Iran. 95. On the number of dominating sets of the Crown graphs, with S. Jahari, 10th Graph Theory and Algebraic Combinatorics Conference (GTACC10), 17-18 Jan 2018, Yazd, Iran. 96. More on the graceful labeling of some graphs, with M.R. Piri, 10th Graph Theory and Algebraic Combinatorics Conference (GTACC10), 17-18 Jan 2018, Yazd, Iran. 97. Symmetry Breaking for Graphs that Are of Importance in Chemistry, with S. Soltani, The Eight Conference and Workshop on Mathematical Chemistry (ECWMC 2018) Tarbiat Modares Univer- sity, Tehran, Iran, May 10–11, 2018. 98. On the Saturation Number of Graph Powers, with N. Soltani, The Eight Conference and Workshop on Mathematical Chemistry (ECWMC 2018) Tarbiat Modares University, Tehran, Iran, May 10–11, 2018. 99. Symmetry breaking in maximal outerplanar, regular and Cayley graphs, With S. Soltani, Symmetry Breaking in Discrete Structures, 16-21 September, Oaxaca, Mxico. 100. The cost number and the determining number of a graph, with S. Soltani, International Conference on Mathematical Computer Engineering 2018 (ICMCE 2018), Chennai, VIT university, India. 101. Distinguishing index of graphs with minimum degree at least two, with S. Soltani, International Conference on Recent Achievements in Mathematical Science (ICRAMS), 2019, Yazd, Iran. 102. Anti-forcing number of the powers of cactus graphs, With N. Soltani, International Conference on Recent Achievements in Mathematical Science (ICRAMS), 2019, Yazd, Iran. 103. Inverse total domination number of some graphs, with S. Jahari, International Conference on Recent Achievements in Mathematical Science (ICRAMS), 2019, Yazd, Iran. 104. Signed Domination Number On Some Graphs, with F. Ramezani, International Conference on Recent Achievements in Mathematical Science (ICRAMS), 2019, Yazd, Iran. 105. Symmetry breaking of groups based on symmetry breaking of subgroups, with S. Soltani, 11th Iranian Group Theory Conference, Yazd University 30-31 Jan 2019, Yazd, Iran 106. Proper distinguishing (edge) coloring, Colourings, Independence and Domination (CID 2019), September 15-20, 2019, Piechowice, Poland.

14 8.4 Expository papers (In Persian language) 1. Prime numbers and Goldbach conjecture, Moalem Journal, (Yazd teacher training center journal), no 11, 2001. (Persian language). 2. On the pigeon hole principle ,Mathematics Education Journal (roshd), Vol 20. N0 73-2003. (Persian language). 3. Solution of equation xy = yx, Rokn Mathematics Journal (Yazd Mathematical Socierty) no 5-2003. (Persian language). 4. On the Fibonacci numbers, Payke Dabirkhane Riyaziyat, Education Ministry of Iran, 2004. (Persian language). 5. Properties of the blessed Prof.Dr.Karim Seddigh, Payke Dabirkhane Riyaziyat, Education Ministry of Iran, 2004. (Persian language). 6. On the some special irrational numbers, Payam Anjoman Journal, Yazd, No1 , 2004. (Persian language). 7. On the golden ratio, Payam Anjoman Journal, Yazd, No1, 2004. (Persian language). 8. Investigation the problems of American Mathematics olympiad, Payam Anjoman Journal, Yazd, No1, 2004. (Persian language). ∑ 1 9. Another proof for divergency of n , Education Mathematics Journal (roshd), No 79, 2005. (Per- sian language). 10. Fibonacci numbers and Arc tangent function, Education Mathematics Journal (roshd) ,No 81, 2005. (Persian language). 11. The joy of Mathematics, Karafan Journal, Shariati Engineering College, Tehran, No 10, 2006. (Persian language). ∑ 1 12. Evaluate of n2 , Ettehad (J.Scientiﬁc Association of Mathematics Teacher in Iran), No 4, 2006. (Persian language). 13. The complementary sequences, Rokn Mathematics Journal, no 6, 2006. (Persian language). 14. In Mathematics never say ”never”!, Educational Mathematics Journal (Roshd), No 95, 26-27. (Per- sian language) 15. Grandma Formula, Rokn Mathematics Journal, 2009. 16. Divisibility by prime numbers, Roshd Educational Mathematics Journal, Vol 26, No 2, Feb 2009. 17. A Laplace transform technique for evaluating inﬁnite series, (Translation), Farhang va Andisheye Riyazi, 2010, no 44, 107-111. 18. Living and trip in 4-dimension, Borhan Mathematics Journal, 2013. 19. What is a Rausy fractal? With A. Nowroozi, Riyazi va Jamee, vol 1, no 3, 2016, 39-43. 20. About Rota’s conjecture, with A. Nowroozi, Riyazi va Jamee, Vol 2, no 1, 2017, 77-91. 21. Beautiful Conjectures in Graph Theory, with A. Nowroozi and S. Jahari, Riyazi va Jamee, Vol 2, no 4, 2017, 11-31. 22. Total domination polynomial of graphs, with N. Jafari, Journal of Electronic&Syber Defence, (special issue of international conference on Combinatorics, Cryptography and computing), 2016, 79-84. 23. Finite frame as code: Some characterizations for error correction codes and three algorithms for troubleshooting in data transfer, with H. Javanshiri and H. Mazaheri, Journal of Electronic&Syber Defence, 26 (2019 ) 1-12. 24. The relationship between the distinguishing number and the distinguishing index with detection number of a graph, with S. Soltani, Mosaheb Mathematical Researches, Vol 6, no. 1, (2020) 109-118.

15 8.5 Research Projects 1. Multipliers and Pseudomultipliers of Hilbert Function Spaces, with M.H. Reihani, Islamic Azad University of Yazd, 2004. 2. Investigation of Chromatic Polynomials of some Nanotubes, Yazd University, 2009. 3. Roots of domination polynomial of graph, Yazd University, 2010. 4. Recurrence relations with two variables in Domination theory, with M. M. Sehati, Islamic Azad University of Yazd, 2009. 5. Fibonacci and Lucas Numbers and their Related Polynomials, with H. Bagheri and Majid Bitaraf, Islamic Azad University, Maybod branch, Feb 2011. 6. On the domination number of random graphs, with H. Torabi, Yazd University, Nov 2011. 7. On the values of some graph polynomials at speciﬁc points, Institute for research in fundamental sciences (IPM); Sep 2011-Sep 2012. 8. Some new results on domination polynomial of graphs, Yazd University, 2012. 9. Investigation and computation of some parameteres of some nanostructures, Yazd University, 2012. 10. On the domination polynomial of Dutch-Windmill graphs, Institute for research in fundamental sciences (IPM); Sep 2012-Sep 2013.

9 Member of editorial board 1. Managing Editor of “Algebraic structures and their applications”, Yazd University, Iran. 2. Asian Journal of Mathematics and Statistics 3. Journal of Applied Sciences. 4. Research Journal of Nanoscience and Nanotechnology. 5. Journal of Graph Labeling. 6. Newsletter of Iranian Mathematical Society. 7. Journal of Mathematical Nanoscience. 8. Farhang va Andishe-ye Riazi (In Persian), Iranian Mathematical Society. 9. Journal of Computational Algebra, University of Kashan, Iran.

10 Referring and reviewing 1. Mathematical Reviews. 2. Zentralblatt fur Mathematik. 3. Open Journal of Discrete Mathematics. 4. Journal of the Chemical Society of Pakistan. 5. Journal of Mathematical Extension. 6. Graphs and Combinatorics. 7. AKCE International Journal of Graphs and Combinatorics.

16 8. Iranian Journal of Mathematical Chemistry. 9. Iranian Journal of Mathematical Sciences and Informatics. 10. Turkish Journal of Mathematics. 11. Optoelectronics and Advanced Materials, Rapid Communications. 12. Electronic Journal of Combinatorics. 13. The Australasian Journal of Combinatorics. 14. Cogent Mathematics. 15. Kyungpook Mathematical Journal. 16. International Journal of Networking and Virtual Organisations (IJNVO). 17. Karbala International Journal of Modern Science. 18. Discussiones Mathematicae Graph Theory. 19. Algebraic Structures and Their Application. 20. Discrete Mathematics. 21. Discrete Mathematics, Algorithms and Applications. 22. Electronic Journal of Graph Theory and Applications. 23. Asian-European Journal of Mathematics 24. Journal of Algebraic Combinatorics 25. The American Mathematical Monthly. 26. IEEE Access. 27. Khayyam Journal of Mathematics. 28. Journal of Combinatorial Optimization. 29. RAIRO-Operations Research. 30. Journal of Linear and Topological Algebra (JLTA).

11 Member of Scientiﬁc and Programming Committee of Confer- ences 1. First conference on Algebraic graph theory and Second conference on Chemical Graph theory, Shahid Rajaei University, 20-22 Oct 2011, Tehran. 2. Fifth Conference and Workshop on Mathematical Chemistry, 15-17 Feb 2012, Yazd, Iran. 3. The ﬁrst conference on combinatorics and its applications, 18-19 May 2012, Khansar, Iran. 4. 6th Conference and Workshop on Mathematical Chemistry, 13-14 Feb 2013, Bushehr, Iran. 5. The 10th IMT-GT ICMSA 2014, International Conference on Mathematics, Statistics and its Ap- plications, Permai Inn Hotel, Kuala Terengganu, Terengganu, Malaysia. 6. First Conference on Computational Algebra, Computational Number Theory and Applications, CACNA 2014, University of Kashan, Iran, 17-19 Dec 2014.

17 7. 46th Annual Iranian Mathematics Conference, AIMC46, Yazd University, Yazd, Iran, 25-28 August 2015. 8. International Conference on Theoretical Computer Science and Discrete Mathematics, 18-21 Dec 2016, Kalasalingam University, India. 9. 9th Conference on Graph Theory and Algebraic Combinatorics, Amirkabir University of Technology, Feb 22-23, 2017, Tehran, Iran. 10. 10th Conference on Graph Theory and Algebraic Combinatorics, Yazd University, Jan 17-18, 2018, Yazd, Iran. 11. International Conference on Mathematical Computer Engineering (ICMCE2018) VIT University, Chennai, India, 23-24 Nov 2018. 12. 11th Iranian Group Theory Conference, Yazd University 30-31 Jan 2019, Yazd, Iran. 13. 11th Conference on Graph Theory and Algebraic Combinatorics, Urmia University, Iran.

12 Invited Speaker • First conference on Algebraic graph theory and Second conference on Chemical Graph theory, Shahid Rajaei University, 20-22 Oct 2011, Tehran, Iran. • The ﬁrst conference on combinatorics and its applications, 18-19 May 2012, Khansar, Iran. • The 6th Conference and Workshop on Mathematical Chemistry, Persian Gulf University, 13-14 Feb. 2013, Bushehr, Iran. • The 2th Conference on Frontiers in Mathematical Sciences, Sharif University of Technology, 25-27 Dec 2013. • International Conference on Mathematical Computer Engineering (ICMCE2016) VIT University, Chennai, India, 16-17 Dec 2016. • International Conference on Theoretical Computer Science and Discrete Mathematics, Kalasalingam University, Krishnankoil, India, December 19-21, 2016. • International Conference on Mathematical Computer Engineering (ICMCE2017) VIT University, Chennai, India, 3-4 Nov 2017. • CMO workshop, Symmetry Breaking in Discrete Structures, Oaxaca, Mexico, 16-21 September 2018. • International Conference on Mathematical Computer Engineering (ICMCE2018) VIT University, Chennai, India, 23-24 Nov 2018. • 11th Conference on Graph Theory and Algebraic Combinatorics, Urmia University, Iran.

13 Scientiﬁc Visits 1. Jan 2008, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, Cambridge, UK. 2. Aug 2011, Universiti Sains Malaysia (USM), Penang, Malaysia. 3. Sept 2012, The Abdus Salam International Center for Theoretical Physics, ICTP, Trieste, Italy. 4. Sept 2018, Faculty Applied Sciences and Biosciences, University of Mittweida, Germany.

18 14 Ph.D. students 1. Roghayeh Hafeziyeh, graduated in 2012 (Advisor) 2. Nabeel A. Arif, graduated in 2013 form Universiti Sains Malaysia (USM) (Advisor). 3. Mehdi Farshi, graduated in 2015 (Advisor) 4. Adeleh Abdolghafourian, graduated in 2015 (Advisor) 5. Somayeh Jahari, graduated in 2016 (Supervisor) 6. Mohammad Mehryar, graduated in Feb 2017 (Supervisor) 7. Davood Fatehi (Supervisor), graduated in October 2018 (Supervisor) 8. Nima Ghanbari, graduated in May 2018 (Supervisor) 9. Nasrin Jafari (Supervisor) 10. Samaneh Soltani, graduated in Oct 2018 (Supervisor) 11. Neda Soltani, graduated in Feb 2019 (Supervisor) 12. Mohammad R. Piri (Supervisor)

15 Supervised Master Thesis 1. Fatemeh Jafari (graduated) 2. Fatemeh Sharif (graduated) 3. Zahra Mohammad panah (graduated) 4. Mostafa Bishomar 5. Vahid Rahmani (graduated) 6. Maryam Abdollahi (graduated) 7. Nasrin Jafari (graduated) 8. Fatemeh Mosadegh (graduated) 9. Zeynab Amirzadeh (graduated) 10. Maryam Shaﬁei (graduated) 11. Soheyr Roohani (graduated) 12. Saeede Zare (graduated) 13. Zahra Daneshvar (graduated) 14. Mahdiyeh Zare Banaadkooki (graduated) 15. Fahimeh Poorrashidi (graduated) 16. Fatemeh Hadaadzadeh (graduated) 17. Mohammad Shariﬁ (computer sciences) (graduated) 18. Haniyeh Jalali (graduated)

19 16 Postdoctoral Researchers 1. Dr. Somayeh Jahari (Supported by part from Iran National Science Foundation (INSF)), May 2018-May 2019. 2. Dr. Fatemeh Ramezani, (Supported by part from Yazd University Research Council), Aug 2018- Aug 2019. 3. Dr. S. Alireza Seyedi, (Supported by National Elites Foundation of Iran), July 2019-Now. 4. Dr. Nazanin Movaraei, (Supported by part from Yazd University Research Council), May 2019-May 2020.

17 References

1) Prof. Yee-hock Peng 2) Prof. Saieed Akbari Department of Mathematics, School of Mathematical Sciences, Universiti Putra Malaysia (UPM), Sharif University of Technology, Serdang, Malaysia. Tehran, Iran. e-mail:[email protected] e-mail:s [email protected] [email protected]

3) Prof. Alireza Ashraﬁ 4) Prof. Bijan Davvaz Department of Mathematics, Department of Mathematics, University of Kashan Yazd University, Kashan, Iran. Yazd, Iran. e-mail:[email protected] e-mail:[email protected]