{"id":7176,"date":"2021-03-09T10:10:59","date_gmt":"2021-03-09T10:10:59","guid":{"rendered":"https:\/\/math.uniri.hr\/?page_id=7176"},"modified":"2026-03-03T10:42:22","modified_gmt":"2026-03-03T10:42:22","slug":"division-of-discrete-mathematics","status":"publish","type":"page","link":"https:\/\/math.uniri.hr\/en\/about\/organization\/division-of-discrete-mathematics\/","title":{"rendered":"Division of Discrete Mathematics"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Chair:<\/h3>\n\n\n\n<p>Assoc. Prof. Vedrana Mikuli\u0107 Crnkovi\u0107<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Members:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Prof. Dean Crnkovi\u0107<\/li>\n\n\n\n<li>Prof. Sanja Rukavina<\/li>\n\n\n\n<li>Assoc. Prof. Doris Dumi\u010di\u0107 Danilovi\u0107<\/li>\n\n\n\n<li>Assoc. Prof. Marija Maksimovi\u0107<\/li>\n\n\n\n<li>Assoc. Prof. Vedrana Mikuli\u0107 Crnkovi\u0107<\/li>\n\n\n\n<li>Assoc. Prof. Andrea \u0160vob<\/li>\n\n\n\n<li>Assist. Prof.&nbsp; Sara Ban Martinovi\u0107<\/li>\n\n\n\n<li>Assist. Prof.&nbsp; Ana Grbac<\/li>\n\n\n\n<li>Assist. Prof.&nbsp; Daniel Hawtin<\/li>\n\n\n\n<li>Assist. Prof.&nbsp;Nina Mostarac<\/li>\n\n\n\n<li>Assist. Prof.&nbsp; Marina \u0160imac<\/li>\n\n\n\n<li>Dr. Nour Alnajjarine<\/li>\n\n\n\n<li>Dr. Matteo Mravi\u0107<\/li>\n\n\n\n<li>Dr. Ivona Traunkar<\/li>\n\n\n\n<li>Dr. Tin Zrinski<\/li>\n\n\n\n<li>Dr. Matea Zubovi\u0107 \u017dutolija<\/li>\n\n\n\n<li>Daniel \u0160anko<\/li>\n\n\n\n<li>Ana \u0160umberac<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Science<\/h2>\n\n\n\n<p>Division of Discrete Mathematics was formed in early 2011.&nbsp;&nbsp;The division consists of 17 members, nine of which are holding tenure track positions, five senior teaching assistants and three teaching assistants.<\/p>\n\n\n\n<p>Scientific work of the members of the Division is in the area of combinatorics and discrete mathematics, especially design theory, graph theory and coding theory.<\/p>\n\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-bd623e1e-f4af-4fe5-9177-398bbb7a657a\" data-mobilecollapse=\"false\" data-desktopcollapse=\"false\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-600087f7-6a3f-4b94-8f1c-8b49b2414fe7\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-bd623e1e-f4af-4fe5-9177-398bbb7a657a\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bd623e1e-f4af-4fe5-9177-398bbb7a657a\" style=\"color: #000000; \">Active Research Projects<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-bd623e1e-f4af-4fe5-9177-398bbb7a657a\">\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/www.math.uniri.hr\/~asvob\/galgeko-hrzz-asvob.html\" target=\"_blank\" rel=\"noreferrer noopener\">Galois geometry and coherent configurations<\/a>\u00a0(project leader: Assoc. Prof. Andrea \u0160vob), Croatian Science Foundation<\/li>\n\n\n\n<li>Neki algebarski aspekti razli\u010ditih incidencijskih struktura (Nekateri algebrai\u010dni vidiki raznih inciden\u010dnih struktur), project leaders: Prof. Sanja Rukavina (University of Rijeka, Faculty of Mathematics); Prof. \u0160tefko Miklavi\u010d (Univerza na Primorskem, Institut Andrej Maru\u0161i\u010d), 2023 &#8211; 2024<\/li>\n\n\n\n<li>Sinergijske primjene novih metoda iz teorije dizajna, konfiguracija, grafova i grupa (Sinergetske aplikacije novej\u0161ih metod iz teorije na\u010drtov, konfiguracij, grafov in grup), project leaders: Assoc. Prof. Andrea \u0160vob (University of Rijeka, Faculty of Mathematics); Prof. Toma\u017e Pisanski (Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije), 2023 &#8211; 2024<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.uniri.hr\/~asvob\/projekt_uniri_dc_2019.html\" target=\"_blank\" rel=\"noreferrer noopener\">Kodovi, grupe i kombinatori\u010dke strukture<\/a>\u00a0(project leader: Prof. Dean Crnkovi\u0107), Research Support of the University of Rijeka<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.uniri.hr\/~ddumicic\/projekt.html\" target=\"_blank\" rel=\"noreferrer noopener\">Dizajni, grafovi i linearni kodovi<\/a>\u00a0(project leader: Prof. Sanja Rukavina), Research Support of the University of Rijeka<\/li>\n\n\n\n<li>Permutacijske grupe kao dizajni, geometrijski dizajni i kona\u010dne geometrije (project leader: Assoc. Prof. Vedrana Mikuli\u0107 Crnkovi\u0107), Research Support of the University of Rijeka<\/li>\n<\/ul>\n\n<\/div>\n\t\t<\/div>\n\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-7a6391a7-0c32-455a-840c-e9b05f044974\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-1-bd623e1e-f4af-4fe5-9177-398bbb7a657a\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-bd623e1e-f4af-4fe5-9177-398bbb7a657a\" style=\"color: #000000; \">Finished Research Projects<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-1-bd623e1e-f4af-4fe5-9177-398bbb7a657a\">\n\n<ul class=\"wp-block-list\">\n<li><a href=\"http:\/\/www.math.uniri.hr\/~vmikulic\/project_hrzz_COCo.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Combinatorial Objects and Codes<\/a>\u00a0(project leader: Prof. Dean Crnkovi\u0107), Croatian Science Foundation, 2019 &#8211; 2020<\/li>\n\n\n\n<li>Kodovi, njihovi konzervatori i pripadne incidencijske strukture (Kode, njihovi ohranjevalci in pripadajo\u010de inciden\u010dne strukture), project leaders: Assoc. Prof. Vedrana Mikuli\u0107 Crnkovi\u0107 Sveu\u010dili\u0161te u Rijeci, Department of Mathematics, University of Rijeka; Prof. Marko Orel Univerza na Primorskem, Institut Andrej Maru\u0161i\u010d, 2020 &#8211; 2022<\/li>\n\n\n\n<li>Dizajni, kodovi, grafovi i kriptografija &#8211; interdisciplinarni pristup analizi diskretnih struktura (project leader: Sanja Rukavina), bliateral project\u00a0Na\u010drti, kode, grafi in kriptografija interdisciplinarni pristop v analizi dolo\u010denih diskretnih struktur (Univerza na Primorskem, In\u0161titut Andrej Maru\u0161i\u010d &#8211; project leader: Prof. Enes Pa\u0161ali\u0107), 2018 &#8211; 2019<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.uniri.hr\/~vmikulic\/project_hrzz.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Codes and Related Combinatorial Structures<\/a>\u00a0(project leader: Prof. Dean Crnkovi\u0107), Croatian Science Foundation, 2014 &#8211; 2018<\/li>\n\n\n\n<li><a href=\"http:\/\/www.math.uniri.hr\/~vmikulic\/projekt_uniri.htm\" target=\"_blank\" rel=\"noreferrer noopener\">Blok dizajni, jako regularni grafovi i srodne kombinatori\u010dke strukture<\/a>\u00a0(project leader: Prof. Dean Crnkovi\u0107), Research Support of the University of Rijeka, 2014 &#8211; 2018<\/li>\n\n\n\n<li>Permutacijske grupe kao dizajni, geometrijski dizajni, kodovi i kona\u010dne geometrije (project leader: Assoc. Prof. Vedrana Mikuli\u0107 Crnkovi\u0107), Initial Research Support Programme of the University of Rijeka for Early-Career Researchers (2017)<\/li>\n\n\n\n<li>Blok dizajni, jako regularni grafovi i srodne kombinatori\u010dke strukture (project leader: Prof. Dean Crnkovi\u0107) funded by the Ministry of Science, Education and Sports of the Republic of Croatia, 2007 &#8211; 2013.<\/li>\n<\/ul>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n<p>In 2010, members of the Division participated in the organization of&nbsp;<a href=\"http:\/\/arhiva.math.uniri.hr\/NATO-ASI\/index.htm\">NATO Advanced Study Institute on Information Security and Related Combinatorics<\/a>&nbsp;summer school (main sponsor: NATO; Organizing Committee: Dean Crnkovi\u0107; Willem Haemers, Tilburg University; Sanja Rukavina, Vladimir D. Tonchev, Michigan technological University).<\/p>\n\n\n\n<p>We are especially proud that the article&nbsp;<em>Self-dual codes from quotient matrices of symmetric divisible designs with the dual property<\/em>&nbsp;(D. Crnkovi\u0107, N. Mostarac, S. Rukavina) is in the list of articles&nbsp;<a href=\"https:\/\/www.journals.elsevier.com\/discrete-mathematics\/news\/editors-choice-of-discrete-mathematics\">Editors&#8217; Choice from Discrete Mathematics<\/a>.<\/p>\n\n\n\n<p>Members of the Division are actively involved in the international scientific community, collaborating with mathematicians from different countries and participating at international scientific conferences. <\/p>\n\n\n<div class=\"wp-block-ub-content-toggle wp-block-ub-content-toggle-block\" id=\"ub-content-toggle-block-da256b87-2379-4380-bfe6-718129323da3\" data-mobilecollapse=\"false\" data-desktopcollapse=\"true\" data-preventcollapse=\"false\" data-showonlyone=\"false\">\n<div class=\"wp-block-ub-content-toggle-accordion\" style=\"border-color: #f1f1f1;\" id=\"ub-content-toggle-panel-block-5bc97ae6-dc73-4479-a82e-14bccac5a533\">\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-title-wrap\" style=\"background-color: #f1f1f1;\" aria-controls=\"ub-content-toggle-panel-0-da256b87-2379-4380-bfe6-718129323da3\" tabindex=\"0\">\n\t\t\t<p class=\"wp-block-ub-content-toggle-accordion-title ub-content-toggle-title-da256b87-2379-4380-bfe6-718129323da3\" style=\"color: #000000; \">Selected Research Papers<\/p>\n\t\t\t<div class=\"wp-block-ub-content-toggle-accordion-toggle-wrap right\" style=\"color: #000000;\"><span class=\"wp-block-ub-content-toggle-accordion-state-indicator wp-block-ub-chevron-down\"><\/span><\/div>\n\t\t<\/div>\n\t\t\t<div role=\"region\" aria-expanded=\"false\" class=\"wp-block-ub-content-toggle-accordion-content-wrap ub-hide\" id=\"ub-content-toggle-panel-0-da256b87-2379-4380-bfe6-718129323da3\">\n\n<ul class=\"wp-block-list\">\n<li>D. Crnkovi\u0107, A. \u0160vob, Tolerance fuzzy graphs, J. Intell. Fuzzy Systems 45 (2023), 4023\u20134029.<\/li>\n\n\n\n<li>M. Shi, Y. Li, W. Cheng, D. Crnkovi\u0107, D. Krotov, P. Sol\u00e9, Self-dual bent sequences for complex Hadamard matrices, Des. Codes Cryptogr. 91 (2023), 1453-1474.<\/li>\n\n\n\n<li>V. Mikuli\u0107 Crnkovi\u0107, I. Traunkar, Self-orthogonal codes constructed from weakly self-orthogonal designs invariant under an action of M11, Appl. Algebra Eng. Commun. Comput. 34 (2023), 139-156.<\/li>\n\n\n\n<li>R. F. Bailey, D. R. Hawtin, On the classification of binary completely transitive codes with almost-simple top-group, European J. Combin. 107 (2023), 103604, 28 pp.<\/li>\n\n\n\n<li>D. R. Hawtin, J. Lansdown, The non-existence of block-transitive subspace designs, Combinatorial Theory 2, No. 1 (2022), Paper No. 11, 13 pp.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, A. \u0160vob, Switching for 2-designs, Des. Codes Cryptogr. 90 (2022), 1585-1593.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, D. R. Hawtin, A. \u0160vob, Neighbour-transitive codes and partial spreads in generalised quadrangles, Des. Codes Cryptogr. 90 (2022), 1521-1533.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, T. Zrinski, Constructing block designs with a prescribed automorphism group using genetic algorithm, J. Combin. Des. 30 (2022), 515-526.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, S. Rukavina, M. \u0160imac, LDPC codes from cubic semisymmetric graphs, Ars Math. Contemp. 22 (2022), #P2.03, 13 pages.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, D. Dumi\u010di\u0107 Danilovi\u0107, R. Egan, A. \u0160vob, Periodic Golay pairs and pairwise balanced designs, J. Algebraic Combin. 55 (2022), 245-257.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, S. Rukavina, A. \u0160vob, Self-orthogonal codes from equitable partitions of association schemes, J. Algebraic Combin. 55 (2022), 157-171.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, A. \u0160vob, New symmetric 2-(176,50,14) designs, Discrete Math. 344 (2021), 112623, 3 pages.<\/li>\n\n\n\n<li>D. R. Hawtin, s-Elusive codes in Hamming graphs, Des. Codes Cryptogr. 89 (2021), 1211\u20131220.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, D. Dumi\u010di\u0107 Danilovi\u0107, S. Rukavina, On automorphism groups of a biplane (121,16,2), Discrete Math. 344 (2021), 112508, 8 pages.<\/li>\n\n\n\n<li>R. F. Bailey, D. R. Hawtin, On the 486-vertex distance-regular graphs of Koolen-Riebeek and Soicher, Electron. J. Combin. 27 (2020), #P3.13, 12 pages.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, N. Mostarac, B. G. Rodrigues, L. Storme, s-PD-sets for codes from projective planes PG(2,2^h), 5 \u2264 h \u2264 9, Adv. Math. Commun. 15 (2021), 423-440.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, A. \u0160vob, V. D. Tonchev, Strongly regular graphs with parameters (81,30,9,12) and a new partial geometry, J. Algebraic Combin. 53 (2021), 253-261.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, R. Egan, A. \u0160vob, Self-orthogonal codes from orbit matrices of Seidel and Laplacian matrices of strongly regular graphs, Adv. Math. Commun. 14 (2020), 591-602.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, H. Kharaghani, A. \u0160vob, Divisible design Cayley digraphs, Discrete Math. 343 (2020), 111784, 8 pages.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, R. Egan, A. \u0160vob, Constructing self-orthogonal and Hermitian self-orthogonal codes via weighing matrices and orbit matrices, Finite Fields Appl. 55 (2019), 64-77.<\/li>\n\n\n\n<li>M. De Boeck, M. Rodgers, L. Storme, A. \u0160vob, Cameron-Liebler sets of generators in finite classical polar spaces, J. Combin. Theory Ser. A 167 (2019), 340-388.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, N. Mostarac, Self-dual codes from orbit matrices and quotient matrices of combinatorial designs, Discrete Math. 341 (2018), 3331\u20133343.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, S. Rukavina, A. \u0160vob, New strongly regular graphs from orthogonal groups O+(6,2) and O-(6,2), Discrete Math. 341 (2018), 2723-2728.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, V. Mikuli\u0107 Crnkovi\u0107, B. G. Rodrigues, On self-orthogonal designs and codes related to Held\u2019s simple group, Adv. Math. Commun. 12 (2018), 607-628.<\/li>\n\n\n\n<li>D. Crnkovi\u0107, R. Egan, A. \u0160vob, Orbit matrices of Hadamard matrices and related codes, Discrete Math. 341 (2018), 1199-1209<\/li>\n<\/ul>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n<p>Members of the Division participate in the implementation of the Croatian Doctoral Program in Mathematics (joint program of J.J. Strossmayer University of Osijek, University of Rijeka, University of Split, University of Zagreb)&nbsp;organizing&nbsp;<a href=\"http:\/\/arhiva.math.uniri.hr\/~tin.zrinski\/Seminar_za_konacnu_matematiku.htm\">Finite Mathematics Seminar<\/a>. As a part of the Seminar, members of the Division present their own research work as well as other relevant articles in the area of research.<br><br>We point out that Andrea \u0160vob has won the University of Rijeka Foundation Award for year 2015 in the category young scientists &#8211; natural and technical sciences and that Vedrana Mikuli\u0107 Crnkovi\u0107 was awarded the same for the academic year 2008\/2009. Vedrana Mikuli\u0107 Crnkovi\u0107 has also received the Croatian National Award for Science (in the category of Science Promotion) for the year 2020.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Teaching<\/h2>\n\n\n\n<p>Since the academic year 2011\/2012 the Division has been organizing and running graduate studies Discrete Mathematics and Its Applications. Members of the Division have designed and run courses in the area of discrete and combinatorial mathematics in these studies and work together on designing and running each course for the purpose of improving the quality of the studies and greater correlation between the courses. The Division is the executor of the project within which e-materials have been made for the course Introduction to Design Theory which has been financed by University of Rijeka (through the Tender for financing the development of e-courses in the academic year 2011\/2012).<\/p>\n\n\n\n<p>In 2012, the Laboratory for Discrete Mathematics was formed and equipped (with GAP and Magma software) and has since been used for research work by the members of the Division and for teaching purposes of the graduate studies Discrete Mathematics and Its Applications.<\/p>\n\n\n\n<p>&nbsp;<br>We point out that the members of the Division are course executors of two courses that have been awarded for special contribution for development of e-learning at the University of Rijeka: course ICT in Mathematics (academic year 2009\/2010) and course Geometry (academic year 2010\/2011). Furthermore, four members of the Division have won the University of Rijeka Teaching Excellence Award&nbsp; (Ivona Novak and Andrea \u0160vob in academic year 2015\/2016 and Sanja Rukavina and Marina \u0160imac in academic year 2017\/2018).<\/p>\n\n\n\n<p>Members of the Division are authors and executors of multiple popular lectures and workshops which are designed for the elementary and high school audiences for the purpose of popularization of mathematics and mathematical studies. They also actively participate in the work of associations such a as: Mathematicians and Physicists Society, Alumni Club MatRI, Zlatni rez, Universitas,&#8230;\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Chair: Assoc. Prof. Vedrana Mikuli\u0107 Crnkovi\u0107 Members: Science Division of Discrete Mathematics was formed in early 2011.&nbsp;&nbsp;The division consists of 17 members, nine of which are holding tenure track positions, five senior teaching assistants and three teaching assistants. Scientific work of the members of the Division is in the area of combinatorics and discrete mathematics, [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":0,"parent":7172,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"ub_ctt_via":"","footnotes":""},"class_list":["post-7176","page","type-page","status-publish","hentry"],"acf":[],"featured_image_src":null,"_links":{"self":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7176","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/comments?post=7176"}],"version-history":[{"count":6,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7176\/revisions"}],"predecessor-version":[{"id":7513,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7176\/revisions\/7513"}],"up":[{"embeddable":true,"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/pages\/7172"}],"wp:attachment":[{"href":"https:\/\/math.uniri.hr\/en\/wp-json\/wp\/v2\/media?parent=7176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}