1997

Citation:

1 1.

ARC $350, 000 S Symmetries of finite digraphs 2014 − 2016

ARC $300, 000 Cayley graphs and associated 2012 − 2014

Efficient computation in finite groups with applications in ARC $825, 728 2010 − 2014 algebra and graph theory

Finite permutation groups and flag-transitive incidence ARC $999, 354 2007 − 2011 structures

ARC QEII $589, 275 Symmetrical graphs, generalized polygons and expanders 2003 − 2007

ARC $300, 000 Factorisation of finite groups and graphs 2004 − 2206

ARC $165, 000 Finite almost transitive groups and graphs 2001 − 2003

APD $177, 009 Finite s-arc-transitive graphs and regular maps 2000 − 2002

UWA $150, 000 Finite vertex-transitive graphs and Cayley graphs 1997 − 2000

2 Selected Plenary and Invited Talks

I have given a number of keynote/invited talks at international conferences in Europe, North America, Asia or most years since 1998, including

• Amalgams for Graphs and Geometries (Oberwolfach, May 2004). • and Algebraic (Beijing, June 2004) • Third Pacific Rim Conference on Mathematics (Shanghai, Aug 2005), • Second Annual Conference on Computation and Logic (Kunming, May 2005), • Lie Theory, Lattices and Dynamics (Newcastle, Nov 2005), • Applications of Group Theory to Combinatorics (Pohang Korea, July 2007), • Permutation Groups (Oberwolfach, Aug 2007), (invited, but couldn’t go). • Fourth Pacific Rim Conference on Mathematics (, Dec. 2007). • Algebraic Combinatorics and Group Theory (Beijing, June 2008). • Vertex Transitive Graphs (Banff, Dec. 2008). • Group Theory, Combinatorics and Computation (, Jan 2009). • – Tomo is Sixty (Ljubljana , June 2009). • Graph Embeddings and Maps on Surfaces (, July 2009). • Symmetries of Graphs and Networks (Slovenia, August 2010). • A Symposium on Mathematics and Applications (Yunnan Math. Soc. Sep 2010). • Group Actions on Combin. Structures – Beijing International Workshop (2011.8). • An International Symposium on Logic, Computation and Combinatorics (Sep 2012, Kunming China). • The Seventh Conference on Graphs and Combinatorics (Changsha, 2013.6). • The Third International Symposium on Groups, Algebras and related topics, (Beijing, June 2013). • The 13th Natinal Conference on Algebra of China (Aug 2013, Changchun China). • The 2nd International Conference on Group, Graph and Network (2013, Beijing). • The 5th International Symposium on Graph Theory and Combinatorial Algorithms (Inner Mongolia, July 2013). • Second International Conference on Group Actions and Transitive Graphs (Kunming China, Sep 2013). • Symmetries of Graphs and Networks IV, (Slovenia, 2014, invited but couldn’t go). • SIGMAP 2014 Workshop Symmetry In Graphs, Maps And Polytopes (West Malvern, U.K., July 2014, invited, but couldn’t go). • International conference on Groups and Algebras (Beijing June 2014). • International Conference on Combinatorics and Graphs, A Satellite Conference of ICM 2014 (Beijing, Aug 2014, invited but couldn’t go). • Asymptotic group theory, Budapest, Hungary, (2015.8, invited but couldn’t go). • Workshop on Algebraic Combinatorics, Hangzhou, China, Sep 18-23, 2015, • Groups and transitive graphs, Nanning, November 2015 • Symmetric graphs, and Networks, Tianjin, December 2016. • Cheryl Praeger Retirement Mini-symposium, Perth, April 13, 2017.

3 Book chapters (1) C. H. Li, Cayley Graphs, (written by invitation), Kluwer Encyclopedia of Mathematics (Supplement III),2002,(Managing Editor: M. Hazewinkel, Kluwer Academic Publishers). (2) C. H. Li, A. Seress, Constructions of quasiprimitive two-arc transitive graphs of product action type, Finite geometries, groups, and computation, 115-123, Walter de Gruyter GmbH & Co. KG, Berlin, 2006. (3) M. Giudici, C. H. Li, and C. E. Praeger, Symmetrical covers, decompositions and factorisations of graphs, in Applications to Group Theory and Combinatorics. Eds: J. Koolen, J.H. Kwak and M.Y. Xu. A. A. Balkema Publishers (Taylor & Francis), pp27-42 (2008).

Journal papers 1994-1996

(4) C. H. Li, Finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate, Comm. Algebra, 22 (1994), 2807-2816. (5) C. H. Li, Isomorphisms and classification of Cayley graphs of small valencies on finite abelian groups, Australas. J. Combin. 12 (1995), 3-14. (6) C. H. Li, The finite groups with the 2-DCI property, Comm. Algebra, 24 (1996), 1749-1757. (7) C. H. Li and C. E. Praeger, The finite simple groups with at most two fusion classes of every order, Comm. Algebra, 24 (1996), 3681-3704.

1997 (8) C. H. Li, The primitive permutation groups of certain degrees, J. Pure Appl. Algebra, 115 (1997), 275-287. (9) C. H. Li, Isomorphisms of finite Cayley graphs, Bull. Aust. Math. Soc. 56 (1997), 169-172. (10) C. H. Li, The cyclic groups with the Cayley isomorphism property, European J. Combin. 18 (1997), 655-665. (11) C. H. Li, On finite groups with the Cayley invariant property, Bull. Austral. Math. Soc. 56 (1997), 253-261. (12) C. H. Li, C. E. Praeger, On finite groups in which any two elements of the same order are fused or inverse-fused, Comm. Algebra 25 (1997), 3081-3118.

1 2

(13) C. H. Li, On self-complementary vertex-transitive graphs, Comm. Algebra 25 (1997), 3903-3908.

1998 (14) C. H. Li, On isomorphisms of connected Cayley graphs, Discrete Math. 178 (1998), 109-122. (15) C. H. Li, Isomorphisms of connected Cayley digraphs, Graphs and Combin. 14 (1998), 37-44. (16) C. H. Li, Isomorphisms of Cayley digraphs of abelian groups, Bull. Austral. Math. Soc. 57 (1998), 181-188. (17) X. G. Fang, C. H. Li, C. E. Praeger, On orbital regular graphs and Frobenius graphs, Discrete Math. 182 (1998), 85-99. (18) C. H. Li, The solution of a question of Godsil regarding cubic Cayley graphs, J. Combin. Theory Ser. B 72 (1998), 140-142. (19) C. H. Li, C. E. Praeger, M. Y. Xu, Finite groups with the Cayley isomorphism property, J. Graph Theory 27 (1998), 21-31. (20) Z. Y. Gu, C. H. Li, The Cayley graphs of order a prime-square which are Cayley invariant, Australas. J. Combin. 17 (1998), 169-174. (21) C. H. Li, AnonabelianCI-group, Australas. J. Combin. 17 (1998), 229-233. (22) C. H. Li, Afamilyofquasiprimitive2-arctransitivegraphs which have non-quasiprimitive full automorphism groups, European J. Combin. 19 (1998), 499-502. (23) C. H. Li, On finite graphs that are self-complementary and vertex-transitive, Australas. J. Combin. 18 (1998), 147-155. (24) C. H. Li, C. E. Praeger, M. Y. Xu, On isomorphisms of finite Cayley digraphs of bounded valency, J. Combin. Theory Ser. B 73 (1998), 164-183. (25) C. H. Li, On Cayley graphs of abelian groups, J. Algebraic Combin. 8 (1998), 205-215. (26) C. H. Li, On isomorphisms of connected Cayley graphs II, J. Combin. Theory Ser. B 74 (1998), 28-34. (27) C. H. Li, On isomorphisms of connected Cayley graphs III, Bull. Austral. Math. Soc. 58 (1998), 137-145. (28) M. Conder, C. H. Li, On isomorphisms of finite Cayley graphs, European J. Combin. 19 (1998), 911-919.

1999 3

(29) C. H. Li, Jie Wang, Finite groups acting 2-transitively on their Sylow sub- groups, Acta Math. Sinica 41 (1998), 931-942; (English Series) 15 (1999), 131-144. (30) C. H. Li, Abelian groups with the Cayley isomorphism property, Ars Combin. 51 (1999), 77-88. (31) C. H. Li, C. E. Praeger, On the isomorphism problem of finite Cayley graphs of bounded valency, European J. Combin. 20 (1999), 279-292. (32) C. H. Li, Finite CI-groups are solvable, Bull. London Math. Soc. 31 (1999), 419-423. (33) C. H. Li, On isomorphisms of finite Cayley digraphs of bounded valency II, J. Combin. Theory Ser. A 87 (1999), 333-346. (34) C. H. Li, On finite groups with the Cayley isomorphism property II, J. Combin. Theory Ser. A 88 (1999), 19-35. (35) C. H. Li, Acompleteclassificationoffinitehomogeneousgroups, Bull. Austral. Math. Soc. 60 (1999), 331-334.

2000 (36) M. Conder, C. H. Li, C. E. Praeger, On the Weiss conjecture for finite locally-primitive graphs, Proc. Edinburgh Math. Soc. 43 (2000), 129-138. (37) C. H. Li, C. E. Praeger, S. M. Zhou, Aclassofsymmetricgraphswith2-arctransitivequotients, Math. Proc. Cambridge Phil. Soc. 129 (2000), 19-34. (38) C. H. Li, H. S. Sim, The graphical regular representations of metacyclic p- groups, European J. Combin. 21 (2000), 917-925.

2001 (39) C. H. Li, H. S. Sim, On half-transitive metacirculant graphs of prime-power order, J. Combin. Theory Ser. B 81 (2001), 45-57. (40) C. H. Li, On finite s-arc transitive graphs of odd order, J. Combin. Theory Ser. B 81 (2001), 307-317. (41) C. H. Li, Finite s-arc transitive graphs of prime-power order, Bull. London Math. Soc. 33 (2001), 129-137. (42) C. H. Li, The finite vertex-primitive and vertex-biprimitive s-transitive graphs with s > 4, Trans. Amer. Math. Soc. 353 (2001), 3511-3529. (43) C. H. Li, S. M. Zhou, Isomorphisms for minimal Cayley graphs, Graphs and Combin. 17 (2001), 307-314. 4

(44) C. H. Li, H. S. Sim, Automorphisms of metacyclic Cayley graphs of prime-power order, J. Aust. Math. Soc. 71 (2001), 223-233. (45) R. Jajacy, C. H. Li, Constructions of self-complementary circulants with no multiplicative isomorphisms, European J. Combin. 22 (2001), 1093-1100. (46) C. H. Li, D. Marusic, J. Morris, Classifying arc-transitive circulants of square-free order, J. Algebraic Combin. 14 (2001), 145-151. (47) C. H. Li, C. E. Praeger, Self-complementary vertex-transitive graphs need not be Cayley graphs, Bull. London Math. Soc. 33 (2001), no. 6, 653-661.

2002 (48) X. G. Fang, C. H. Li, J. Wang, M. Y. Xu, On cubic normal Cayley graphs of finite simple groups, Discrete Math. 244 (2002), 67-75. (49) C. H. Li, C. E. Praeger, A. Venkatesh, S. M. Zhou, Finite locally-quasiprimitive graphs, Discrete Math. 246 (2002), 197-218. (50) C. H. Li, On Isomorphisms of finite Cayley graphs – a survey, Discrete Math. 256 (2002), 301-334. (51) C. H. Li, C. E. Praeger, Constructing homogeneous factorisations of complete graphs and digraphs, Graphs Combin. 18 (2002), 757-761.

2003 (52) C. H. Li, C. E. Praeger, On partitioning the orbitals of a transitive , Trans. Amer. Math. Soc. 355 (2003), 637-653. (53) C. H. Li, A. Seress, The primitive permutation groups of square-free degree, Bull. London Math. Soc. 35 (2003), 635-644. (54) C. H. Li, The finite primitive permutation groups containing an abelian regular subgroup, Proc. London Math. Soc. 87 (2003), 725-748.

2004 (55) M. Giudici, C. H. Li, C. E. Praeger, Analysing finite locally s-arc transitive graphs, Trans. Amer. Math. Soc. 356 (2004), 291-317. (56) C. H. Li, Z. P. Lu, D. Marusic, Finite primitive permutation groups with a small suborbit 5

and their orbital graphs, J. Algebra 279 (2004), 749-770. (57) X. G. Fang, C. H. Li, M. Y. Xu, On finite edge-transitive Cayley graphs of valency 4, European J. Combin. 25 (2004), 1107-1116. (58) R. Guralnick, C. H. Li, C. E. Praeger, J. Saxl, On orbital partitions and exceptionality of primitive permutation groups, Trans. Amer. Math. Soc. 356 (2004), 4857-4872. (59) X. G. Fang, C. H. Li, C. E. Praeger, The locally 2-arc-transitive graphs admitting a Ree simple group, J. Algebra 282 (2004), 638-666.

2005 (60) C. H. Li, Finite s-arc transitive Cayley graphs and flag-transitive projective planes, Proc. Amer. Math. Soc. 133 (2005), 31-41. (61) C. H. Li, Josef Siran, Regular maps whose groups do not act faithfully on vertices, edges or faces, European J. Combin. 26 (2005), 521-541. (62) C. H. Li, A. Seress, On finite vertex-transitive graphs with square-free number of vertices, Designs, Codes, and Cryptography 34 (2005), 265-281. (63) M. Giudici, C. H. Li, C. E. Praeger, Some locally 3-arc transitive graphs constructed from triality, J. Algebra 285 (2005), 11-28. (64) C. H. Li, Finite permutation groups with a cyclic regular subgroup and arc-transitive circulants, J. Algebraic Combin. 21 (2005), No. 2, 131-136. (65) Y. Q. Chen, C. H. Li Relative di↵erence sets fixed by inversion and Cayley graphs, J. Combin. Theory Ser. A 111 (2005), 165-173.

2006 (66) M. Giudici, C. H. Li, C. E. Praeger, Locally 2-arc transitive graphs, homogeneous factorisations and partial linear spaces, J. Combin. Designs 14 (2006), 139-148. (67) M. Giudici, C. H. Li, P. Potocnik, C. E. Praeger, Homogeneous factorisations of graphs and digraphs, European J. Combin. 27/1 (2006), 11-37. 6

(68) C. H. Li, Z. P. Lu, Hua Zhang, Tetravalent edge-transitive Cayley graphs with odd number of vertices, J. Combin. Theory Ser. B 96 (2006), 164-181. (69) C. H. Li, Finite edge-transitive Cayley graphs and rotary Cayley maps, Trans. Amer. Math. Soc. 358 (2006), 4605-4635. (70) M. Giudici, C. H. Li, C. E. Praeger, Locally s-arc transitive graphs with two di↵erent quasiprimitive actions, J. Algebra 299 (2006), 863-890. (71) M. Giudici, C. H. Li, C. E. Praeger, On finite locally s-arc transitive graphs with a star normal quotient, J. Group Theory 9 (2006), 641-658. (72) M. Giudici, C. H. Li, C. E. Praeger, A. Seress, V. Trofimov, On minimal subdegrees of finite primitive permutation groups, Contemp. Math. 402 (2006), 75-94. (73) M. Giudici, C. H. Li, C. E. Praeger, A. Seress, V. Trofimov, Limits of vertex-transitive graphs, Contemp. Math. 402 (2006), 159-169.

2007 (74) C. H. Li, Akos Seress, Symmetrical path-cycle covers of a graph and polygonal graphs, J. Combin. Theory Ser. A 114 (2007), 35-51. (75) M. Giudici, C. H. Li, C. E. Praeger, A. Seress, V. Trofimov, On limit graphs of finite vertex-primitive graphs, J. Combin. Theory Ser. A 114 (2007), 110-134. (76) M. Giudici, C. H. Li, C. E. Praeger, Anewfamilyoflocally5-arctransitive graphs, European J. Combin. 28 (2007), 533-548. (77) C. H. Li, J. Siran, M¨obiusregular maps, J. Combin. Theory Ser. B 97 (2007), 57-73. (78) M. Giudici, C. H. Li, P. Potocnik, C. E. Praeger, Homogeneous factorisations of complete multipartite graphs, Discrete Math. 307 (2007), 415-431. (79) X. G. Fang, C. H. Li, J. Wang, Finite vertex primitive 2-arc regular graphs, J. Algebraic Combin. 25 (2007), 125-140. (80) X. G. Fang, C. H. Li, J. Wang, On transitive 1-factorizations of arc-transitive graphs, J. Combin. Theory Ser. A 114 (2007), 692-703. (81) C. H. Li, Z. P. Lu, P. Palfy, Further restrictions on finite CI-groups, J. Algebraic Combin. 26 (2007), 161-181.

2008 7

(82) C. H. Li, J. M. Pan, Finite 2-arc-transitive Cayley graphs of abelian groups, European J. Combin. 29 (2008), 148-158. (83) C. H. Li, Semiregular automorphisms of cubic vertex transitive graphs, Proc. Amer. Math. Soc. 136 (2008), 1905-1910. (84) C. H. Li, On finite edge-transitive graphs and rotary maps, J. Combin. Theory Ser. B. 98 (2008) 1063-1075. (85) M. Giudici, C. H. Li, C. E. Praeger, Homogeneous factorisations of graph products, Discrete Math. 308 (2008) 3652-3667. (86) C. H. Li, On automorphism groups of quasiprimitive 2-arc transitive graphs, J. Algebraic Combin. 28 (2008) 261-270. (87) A. Devillers, M. Giudici, C. H. Li, C.E. Praeger, Primitive decompositions of Johnson graphs, J. Combin. Theory Ser. A, 115 (2008) 925-966.

2009 (88) C. H. Li, Vertex transitive embeddings of complete graphs, J. Combin. Theory Ser. B 99 (2009) 447-454. (89) C. H. Li, T. K. Lim, C. E. Praeger, Homogeneous factorizations of complete graphs with edge-transitive factors, J. Algebraic Combin. 29 (2009) 107-132. (90) C. H. Li, Jiangmin Pan, Li Ma, Locally primitive graphs of prime-power order, J. Austral. Math. Soc. 89 (2009) 111-122. (91) C. E. Praeger, C. H. Li, L. Stringer, Common circulant cyclic homogeneous factorisations of complete graphs, Discrete Math. 309 (2009), 3006-3012. (92) Jiangmin Pan, C. H. Li, Enumerating local permutation polynomials over residue class rings, Taiwanese J. Math. 13 (2009), 1371-1377.

2010 (93) A. Devillers, M. Giudici, C. H. Li, C.E. Praeger, Some graphs related to the small Mathieu groups, European J. Combin. 31 (2010), 336-348. (94) C. H. Li, C. E. Praeger, S. M. Zhou, Imprimitive symmetric graphs with cyclic blocks, European J. Combin. 31 (2010), 262-367. (95) M. Giudici, C. H. Li, Finite edge-primitive and edge-quasiprimitive graphs, J. Combin. Theory Ser. B 100 (2010), 275-298. 8

(96) C. H. Li, Liang Niu, Akos Seress, Ronald Solomon, The vertex primitive and vertex bi-primitive s-arc regular graphs, J. Combin. Theory Ser. B 100 (2010), 359-366.

2011 (97) C. H. Li, Bengong Lou, Jiangmin Pan, Finite locally primitive abelian Cayley graphs, Sci. China Math. 54(4) (2011), 845-854. (98) Shouhong Qiao, C. H. Li, The finite groups of cube-free order, J. Algebra, 334 (2011), 101-108. (99) A. Devillers, M. Giudici, C. H. Li, G. Pearce, C.E. Praeger, On imprimitive rank 3 permutation groups, J. London Math. Soc. 84(3) (2011), 649-669. (100) C. H. Li and L. Ma, On locally primitive graphs, and bi-direct products of graphs, J. Austral. Math. Soc. 91 (2011), 231-242. (101) Jing Xu, M. Giudici, C. H. Li and C. E. Praeger, On closures of semilinear and ane permutation groups. Elec. J. Combin. 18 (Nov 2011,RP 225, 32pp). (102) C. H. Li, Hua Zhang, Finite primitive permutation groups with soluble stabilisers and edge-primitive 4-arc transitive graphs, Proc. London Math. Soc. (3) 103 (2011), 441-472.

2012 (103) C. H. Li, Zhe Liu and Z. P. Lu, The edge-transitive tetravalent Cayley graphs of square-free order Disc. Math. 312 (2012), 1952-1967. (104) A. Devillers, M. Giudici, C. H. Li, C.E. Praeger, Locally s-distance transitive graphs, J. Graph Theory 69 (2012), 176-197. (105) A. Devillers, M. Giudici, C. H. Li and C.E. Praeger, An infinite family of biquasiprimitive 2-arc-transitive cubic graphs, J. Algebraic Combin. 35 (2012), 173-192. (106) C. H. Li and C. E. Praeger, Finite permutation groups with a transitive cyclic subgroup, J. Algebra 349 (2012), 117-127. (107) M. R. Giudici, C. H. Li, G. Pearce, C. E. Praeger Basic and degenerate pregeometries European J. Combin. 33 (2012), 1178-1189 9

(108) Shujiao Song, C. H. Li, and Dianjun Wang, Classifying a family of edge-transitive metacirculant graphs, J. Algebraic Combin. 35 (2012), 497-513 (109) C. H. Li and Hua Zhang, The finite primitive and bi-primitive 2-path-transitive graphs. J. Algebraic Combin. 36 (2012), 231-246. (110) T. Dobson, C. H. Li, and Pablo Spiga, Transitive permutation groups with a regular abelian Hall subgroup, Comm. Algebra. 40 (2012), 3352-3539.

2013 (111) C. H. Li and Hua Zhang, On finite 2-path-transitive graphs J. Graph Theory. 73 (2013), 225-237. (112) A. M. Devillers, Wei Jin, C. H. Li and C. E. Praeger, On distance, geodesic and arc transitivity of graphs Ars Mathematica Contemporanea. 6 (2013), 13-20. (113) C. H. Li, Shujiao Song, and Dianjun Wang, Acharacterizationofmetacirculants, J. Combin. Theory Ser. A. 120 (2013), 39-48. (114) A. M. Devillers, W. Jin, C. H. Li and C. E. Praeger, Local 2-geodesic transitivity and clique graphs, J. Combin. Theory Ser. A, 120 (2013), 500-508. (115) A. M. Devillers, M. R. Giudici, C. H. L and C. E. Praeger, Locally s-distance transitive graphs and pairwise transitive designs, J. Combin. Theory Ser. A, 120 (2013), 1855-1870. (116) S. T. Guo, Y. Q. Feng and C. H. Li, The finite edge-primitive pentavalent graphs, J. Algebraic Combinatorics, 38 (2013), 491-497. (117) A. G. Wu, W. Q. Liu, C. H. Li G. R. Duan, On j-conjugate product of quaternion polynomial matrices, Applied Mathematics and Computation, 219 (2013), 11223-11232. (118) W. W. Fan, D. Leemans, C. H. Li J. M. Pan, Locally 2-arc-transitive complete bipartite graphs, J. Combin. Theory Ser. A, 120 (2013), 683-699. (119) C. H. Li and S. H. Qiao, Finite groups of fourth-power free order, J. Group Theory, 16 (2013), 275-298. (120) S. J. Song, C. H. Li and D. J. Wang, Afamilyofedge-transitiveFrobeniusmetacirculantsofsmallvalency, European J. Combinatorics, 34 (2013), 512-521. (121) Jing Chen, C. H. Li and A.´ Seress, Afamilyofhalf-transitivegraphs, Elec. J. Combin., 20 (2013). P56. 10

(122) C. H. Li, Y. M. Wang, Z. Q. Xie, N. Su Finite groups in which every subgroup is c-normal Sciences China Math. 43 (2013), 25-32.

2014 (123) C. H. Li, S. H. Sun, J. Xu Self-complementary circulants of prime-power order Siam J. Discrete Math. 28 (1) (2014), 8-17. (124) C. H. Li, H. Zhang, Finite vertex-biprimitive edge-transitive tetravalent graphs Discrete Math. 317 (2014), 33-43. (125) S. J. Song, C. H. Li, H. Zhang Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants, J. Algebra 399 (2014), 948-959. (126) C. H. Li, Z. P. Lu, G. X. Wang Vertex-transitive cubic graphs of square-free order J. Graph Theory 75 (1) (2014), 1-19. (127) W. W. Fan, C. H. Li, J. M. Pan Finite locally-primitive complete bipartite graphs J. Group Theory 17 (2014), 111-129. (128) C. H. Li and Xian Hua Li, Primitive permutation groups of degree being a product of two prime-powers. Comm. Algebra, 42 (2014), 4722-4743. (129) Alice Devillers, Wei Jin, Cai Heng Li, Akos´ Seress Local 2-Geodesic Transitivity of Graphs Ann. Combinatorics 18 (2014), 313-325. (130) C. H. Li, G. Rao Self-complementary vertex-transitive graphs of order a product of two primes, Bull. Austral. Math. Soc. 89 (2014), 322-330. (131) Alice Devillers, Wei Jin, Cai Heng Li, Cheryl E. Praeger On normal 2-geodesic transitive Cayley graphs J. Algebraic Combinatorics, 39 (2014), 903-918. (132) C. H. Li, G. Rao, S. J. Song, On finite self-complementary metacirculants J. Algebraic Combinatorics, 40(4) (2014), 1135-1144. (133) C. H. Li, Z. P. Lu, J. M. Pan Finite vertex-primitive edge-transitive metacirculants J. Algebraic Combinatorics, 40(3) (2014), 785-804. (134) S. J. Song, C. H. Li, and D. J. Wang, Finite locally-quasiprimitive graphs, Algebra Colloquium. 21 (2014), 627-634. 11

(135) C. H. Li, J. M. Pan, S. J. Song, D. Wang, Acharacterizationofafamilyofedge-transitivemetacirculantgraphs J. Combin. Theory, Ser. B, 107 (2015), 12-25.

2015 (136) S. T. Guo, Y. Q. Feng and C. H. Li, Edge-primitive tetravalent graphs J. Combin. Theory, Ser. B, 112 (2015), 124-137. (137) M. Giudici, C. H. Li, A. Seress and A. Thomas, Characterising star-transitive and st (edge)-transitive graphs Israel. J. Math. 205 (2015), 35-72 (138) Y. Q. Feng, C. H. Li and J. X. Zhou, Symmetric cubic graphs with soluble automorphism groups. European J. Combin. 45 (2015), 1-11. (139) Wei Jin, A. Devillers, C. H. Li and C. E. Praeger, On geodesic transitive graphs. Discrete Math. 338 (2015), 168-173. (140) C. H. Li, A.´ Seress and S. J. Song, s-Arc-transitive graphs and normal subgroups. J. Algebra, 421 (2015), 331-348. (141) M. D. Conder, C. H. Li, and P. Potoˇnik, On the orders of arc-transitive graphs. J. Algebra, 421 (2015), 167-186. (142) Cai Heng Li, Zai Ping Lu, Gai Xia Wang, The vertex-transitive and edge-transitive tetravalent graphs of square-free order, J. Algebraic Combinatorics, 42 (2015), 25-50. (143) C. H. Li, Z. P. Lu and G. X. Wang, On edge-transitive graphs of square-free order, Elec. J. Combinatorics, 22(3) (2015), #P 3.25. (144) Jing Chen, C. H. Li and W. J. Liu, On isomorphisms of vertex-transitive graphs, J. Austral. Math. Soc. published online 13 August 2015. (145) Alice Devillers, Wei Jin, Cai Heng Li and Cheryl E. Praeger, Finite 2-geodesic transitive graphs of prime valency, J. Graph Theory 80 (2015), 18-27.

2016 (146) C. H. Li and Lei Wang, Relative elementary abelian groups, and a class of edge-transitive Cayley graphs, J. Austral. Math. Soc. 100(2016), 241-251. (147) C. H. Li, C. E. Praeger, and Csaba Schneider, Two-arc-transitive graphs with Cartesian decompositions, J. Pure App. Alg. 220 (2016), 2683-2700. 12

(148) C. H. Li, Z. P. Lu and Gaixia Wang, Arc-transitive graphs of square-free order and small valency, Disc. Math. 339 (2016), 2907-2918. (149) Jiangmin Pan, Zhaohong Huang, and Cai Heng Li, Arc-transitive pentavalent graphs of of order four times a prime power, Ars Combin. 129 (2016), 323-339.

To appear (150) M. Giudici, I. Kovacs, C. H. Li and G. Verret, Cubic arc-transitive k-multicirculants. J. Combin. Theory, Ser. B. 125 (2017), 80-94. (151) C. H. Li, Bo Ling, and C. X. Wu, An infinity family of 2-arc-transitive graphs of product action type. J. Combin. Theory, Ser. A. 150 (2017), 152-161. (152) John Bamberg, Cai Heng Li, and Eric Swartz, Aclassificationoffiniteantiflag-transitivegeneralizedquadrangles. Trans. Amer. Math. Soc. (153) W. W. Fan and C. H. Li, The complete bipartite graphs with a unique edge-transitive embedding. J. Graph Theory. (154) W. W. Fan and C. H. Li, Aclassificationoforientablyedge-transitivecircularembeddingsofKpe,pf . Ann. Comb. (155) C. H. Li, Lei Wang and C. X. Wu, Constructions of vertex-transitive self-complementary graphs. Elec. J. Combin. (156) M. Giudici, C. H. Li and B. Z. Xia, An infinity family of vertex-primitive 2-arc-transitive digraphs. J. Combin. Theory, Ser. B. (157) M. Giudici, S. Glasby, C. H. Li and G. Verret, The number of composition factors of order p in completely reducible groups of characteristic p. J. Algebra. (158) Jiangmin Pan and Cai Heng Li Finite permutation groups containing a transitive abelian subgroup. Comm. Algebra.