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Book of Abstract SMAK2018.Pdf UNIVERSITY OF KRAGUJEVAC FACULTY OF SCIENCE XIV SERBIAN MATHEMATICAL CONGRESS (14SMAK 2018) BOOK OF ABSTRACTS May 16{19, 2018 Kragujevac, Serbia Book of Abstracts XIV Sebian Mathematical Congress, May 16{19, 2018 Kragujevac, Serbia https://imi.pmf.kg.ac.rs/kongres ISBN 978-86-6009-055-5 Published By: Faculty of Science University of Kragujevac Radoja Domanovi´ca12 34000 Kragujevac Serbia Tel.: +381 (0)34 336223 Fax: +381 (0)34 335040 Website: http://pmf.kg.ac.rs Edited By: Tatjana Tomovi´c Front Cover: Zeljkoˇ Maliˇsi´c Printed By: InterPrint, Kragujevac, Serbia Contents ORGANIZATION 5 Organizers . .5 Co-organizers . .6 Sponsors . .6 International Scientific Committee . .7 Organizing Committee . 10 HOST CITY { KRAGUJEVAC 11 FACULTY OF SCIENCE { UNIVERSITY OF KRAGU- JEVAC 13 PARTICIPATING COUNTRIES 15 PLENARY LECTURES { ABSTRACTS 16 WORKSHOP LECTURERS { ABSTRACTS 23 Time-frequency Analysis . 23 Algebraic Topology { Methods, Applications and Computations 27 Modern Chemical Graph Theory . 33 Data Science . 41 CONTRIBUTED TALKS { ABSTRACTS 50 FIELD 1 { Real and Functional Analysis, Probability and Statistics, Differential Equations . 50 FIELD 2 { Logic, Algebra, Set Theory, Discrete Mathematics, Number Theory . 95 FIELD 3 { Geometry, Topology, Algebraic Geometry and Topol- ogy............................... 138 3 4 SMAK 2018, Kragujevac, Serbia FIELD 4 { Applied Mathematics, Numerical Analysis . 160 FIELD 5 { History and Teaching of Mathematics and Informatics189 FIELD 6 { Computer Science . 208 POSTERS { ABSTRACTS 227 INDEX OF AUTHORS 234 ORGANIZATION ORGANIZERS Faculty of Science, University of Kragujevac 5 6 SMAK 2018, Kragujevac, Serbia CO-ORGANIZERS Mathematical Society of Serbia Serbian Mathematical Sciences Association University of Kragujevac Faculty of Mathematics, University of Belgrade Faculty of Natural Sciences Faculty of Natural Sciences and Mathematics, and Mathematics, Niˇs Kosovska Mitrovica Faculty of Sciences, Novi Sad Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade SMAK 2018, Kragujevac, Serbia 7 SPONSORS Ministry of Education, Science Microsoft and Technological Development INTERNATIONAL SCIENTIFIC COMMITTEE Coordinator: Marija Stani´c(Kragujevac, Serbia) Real and Functional Analysis, Probability and Statistics, Differential Equations 1. Slad-ana Dimitrijevi´c(Kragujevac, Serbia) 2. Sever Silvestru Dragomir (Melbourne, Australia) 3. Dragan Dord- -evi´c(Niˇs,Serbia) 4. Jacek Jachymski (L´od´z,Poland) 5. Miljana Jovanovi´c(Niˇs,Serbia) 6. David Kalaj (Podgorica, Montenegro) 7. Poom Kumam (Bang Mod, Bangkok, Thailand) 8. Jelena Manojlovi´c(Niˇs,Serbia) 9. Miodrag Mateljevi´c(Belgrade, Serbia) 8 SMAK 2018, Kragujevac, Serbia 10. Stevan Pilipovi´c(Novi Sad, Serbia) 11. Stojan Radenovi´c(Belgrade, Serbia) 12. Hari Mohan Srivastava (Victoria, British Columbia, Canada) Logic, Algebra, Set Theory, Discrete Mathematics, Number Theory 1. Dragi´cBankovi´c(Kragujevac, Serbia) 2. Bojana Borovi´canin(Kragujevac, Serbia) 3. Richard Brualdi (Wisconsin, USA) 4. Miroslav Ciri´c(Niˇs,Serbia)´ 5. Nada Damljanovi´c(Caˇcak,Serbia)ˇ 6. Igor Dolinka (Novi Sad, Serbia) 7. Radosav Dord- -evi´c(Kragujevac, Serbia) 8. Aleksandar Ivi´c(Belgrade, Serbia) 9. Matti Jutila (Turku, Finland) 10. Sandi Klavˇzar(Ljubljana, Slovenia) 11. Miroslav Petrovi´c(Kragujevac, Serbia) 12. Juan Pablo Rada Rinc´on(Medell´ın,Colombia) 13. Miodrag Raˇskovi´c(Belgrade, Serbia) 14. Dragan Stevanovi´c(Belgrade, Serbia) Geometry, Topology, Algebraic Geometry and Topology 1. Dord- -e Barali´c(Belgrade, Serbia) 2. Bang-Yen Chen (Michigan, USA) 3. Haibao Duan (Beijing, China) 4. Jelena Grbi´c(Southampton, England, United Kingdom) 5. BoˇzidarJovanovi´c(Belgrade, Serbia) 6. Louis H. Kauffman (Chicago, USA) 7. Miroslava Petrovi´c-Torgaˇsev(Kragujevac, Serbia) 8. Zoran Raki´c(Belgrade, Serbia) 9. Ljubica Velimirovi´c(Niˇs,Serbia) 10. Leopold Verstraelen (Leuven, Belgium) 11. Andrei Vesnin (Novosibirsk, Rusia) 12. Rade Zivaljevi´c(Belgrade,ˇ Serbia) SMAK 2018, Kragujevac, Serbia 9 Applied Mathematics, Numerical Analysis 1. Lehel Banjai (Edinburgh, Scotland, United Kingdom) 2. Ernesto Birgin (S~aoPaulo, Brazil) 3. Dejan Bojovi´c(Kragujevac, Serbia) 4. Bernardo de la Calle Ysern (Madrid, Spain) 5. Ivan Gutman (Kragujevac, Serbia) 6. Mircea Ivan (Cluj-Napoca, Romania) 7. Boˇsko Jovanovi´c(Belgrade, Serbia) 8. NataˇsaKreji´c(Novi Sad, Serbia) 9. Giuseppe Mastroianni (Potenza, Italy) 10. Gradimir Milovanovi´c(Belgrade, Serbia) 11. Giovanni Monegato (Torino, Italy) 12. Sotirios Notaris (Athens, Greece) 13. Ram´onOrive Rodrguez (Tenerife, Canary Islands, Spain) 14. Marko Petkovi´c(Niˇs,Serbia) 15. Ljiljana Pavlovi´c(Kragujevac, Serbia) 16. Harishchandra Ramane (Dharwad, India) 17. Lothar Reichel (Kent, Ohio, USA) 18. Miodrag Spalevi´c(Belgrade, Serbia) 19. Lubin Vulkov (Ruse, Bulgaria) History and Teaching of Mathematics and Informatics 1. Milan Boˇzi´c(Belgrade, Serbia) 2. NebojˇsaIkodinovi´c(Belgrade, Serbia) 3. Zoran Kadelburg (Belgrade, Serbia) 4. Aleksa Maleski (Skopje, Macedonia) 5. Dura- Pauni´c(Novi Sad, Serbia) 6. Branislav Popovi´c(Kragujevac, Serbia) 7. Durd- -ica Takaˇci(Novi Sad, Serbia) 10 SMAK 2018, Kragujevac, Serbia Computer Science 1. Aleksandar Cvetkovi´c(Belgrade, Serbia) 2. MiloˇsIvanovi´c(Kragujevac, Serbia) 3. Mirjana Ivanovi´c(Novi Sad, Serbia) 4. Vasilios Katsikis (Athens, Greece) 5. Zoran Ognjanovi´c(Belgrade, Serbia) 6. Boban Stojanovi´c(Kragujevac, Serbia) 7. Milan Tasi´c(Niˇs,Serbia) ORGANIZING COMMITTEE 1. Marija Stani´c,president (Kragujevac, Serbia) 2. Suzana Aleksi´c(Kragujevac, Serbia) 3. Vojislav Andri´c(Belgrade, Serbia) 4. Bojana Borovi´canin(Kragujevac, Serbia) 5. Slad-ana Dimitrijevi´c(Kragujevac, Serbia) 6. Milica Grbovi´c(Kragujevac, Serbia) 7. MiloˇsIvanovi´c(Kragujevac, Serbia) 8. Aleksandar Jovanovi´c(Kragujevac, Serbia) 9. Ana Kaplarevi´c-Maliˇsi´c(Kragujevac, Serbia) 10. Miomir Kovaˇcevi´c(Kragujevac, Serbia) 11. Aleksandar Milenkovi´c(Kragujevac, Serbia) 12. Branislav Popovi´c(Kragujevac, Serbia) 13. ViˇsnjaSimi´c(Kragujevac, Serbia) 14. Mi´caStankovi´c(Niˇs,Serbia) 15. Nenad Stojanovi´c(Kragujevac, Serbia) 16. Teodora Trifunovi´c(Kragujevac, Serbia) 17. Tatjana Tomovi´c(Kragujevac, Serbia) 18. Dragana Valjarevi´c(Kosovska Mitrovica, Serbia) HOST CITY { KRAGUJEVAC When you come to Kraguje- vac for the first time, the first your hosts will say is the follow- ing: \Kragujevac is the heart of Sumadijaˇ and Serbia". \Kraguje- vac has always been first in every- thing!" However, you should not think that it is a matter of host who can boast! Here are some interest- ing facts about the city you will be welcome. Kragujevac is situated in the central part of Serbia on the banks of the Lepenica River, between the flanks of mountains Rudnik, Crni vrh and Gledi´cke planine. The area covers 835 square kilometres at an alti- tude of 173-200 metres. The geographic centre of Serbia is 8 kilometres northwest of the city centre. Kragujevac is the fifth largest city in Ser- bia (after Belgrade, Novi Sad, Niˇsand Priˇstina)with around 190,000 inhabitants and is recognised as the driver of the industrial, economic, cultural and educational development of Sumadijaˇ and Pomoravlje. In the area of Kragujevac, there are numerous material remains from pre- historic period. Illyrians, Romans, and later Slavs significantly affected the development of this region. The town was first recorded in the Ot- toman population census (defter) in 1476 as Kragujfoˇca(although some other sources included different names Kragujevdˇzand Karagovindˇza). The name of Kragujevac is connected with the bird \kraguj" { a species of the hawk used for hunting. On May 6, 1818, at the Assembly of National Elections in the Mona- stery Vra´cevˇsnica,Kragujevac was elected the capital. Before the relo- cation of the capital to Belgrade, Kragujevac evolved as the first cultural and educational centre. Thus, in 1807 was established the elementary school which was attended by male children; the Gymnasium followed in 1833; Licej (the forerunner of Belgrade University) started in 1838; the General-craft School opened in 1845; the Military-craft School began its work in 1845 and the Teachers' Training School was established in 1870. 11 12 SMAK 2018, Kragujevac, Serbia The College for females was founded in 1891, and in 1903 the Teachers Training School for females was opened. For the first time in the history of the Serbian state, a whole set of institutions were established in Kragujevac. The first judicial insti- tution, the Court of Kragujevac, was established in 1820. The first newspaper, \Novine srbske", were moved from Belgrade to Kragujevac in 1834. During this period, a Slavo-Serb writer Joakim Vuji´cestab- lished the theatre in Kragujevac { Knjaˇzevsko-srpski teatar { in 1835, and then, as the musical program accompanying the main event, the choir { Knjaˇzevsko-srbska banda { appeared under the leadership of the chapel-master, Josip Schlesinger. During the First World War, Kragujevac was once again the capital city where the Regent Aleksandar Karad-ord-evi´cresided as well as the Supreme Command of the Serbian Army led by the general Radomir Putnik. As an important strategic centre, Kragujevac was frequently demolished in both wars. In the Second World War, in the mass shooting of the civilian population on October 21, 1941, the Germans killed about 7,000 people residing in Kragujevac, including 300 pupils and fifteen children aged 8-12 years. The city was freed on October 21, 1944. The commemorative event \Great School Lesson" { Veliki ˇskolski ˇcas { was held for
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