Ademir Hujdurovic

Research Interests

My research work is primarily focused on graph theory, particularly the study of the properties and characterization of graphs that possess a certain degree of symmetry. I obtained PhD in mathematics in 2013 at the University of Primorska under the supervision of Prof. Dragan Marušič and Prof. Klavdija Kutnar.

Current Positions

• 2019 – Present: Dean, Faculty of Mathematics, Natural Sciences and Information Technologies, University of Primorska
• 2023 – Present: Professor of Mathematics, University of Primorska

Previous Positions

• 2019 – 2023: Associate Professor, University of Primorska
• 2018 – 2019: Vice-Dean for International Cooperation at UP FAMNIT
• 2014 – 2019: Assistant Professor, University of Primorska
• 2014 – 2015: Assistant (Visiting) Professor, University of Tuzla, Bosnia and Herzegovina
• 2010 – 2013: PhD Student, University of Primorska

Editorial Work

• Managing Editor: Ars Mathematica Contemporanea, since 2023
• Editorial Board Member: The Art of Discrete and Applied Mathematics, since 2023

Awards

• 2024: Kalman Visiting Fellowship, University of Auckland, New Zealand
• 2019: Scientific Excellence Award (Best Researcher of the Year), University of Primorska
• 2009: Gold Plaque for Best Student of the Generation (Average 10.00), University of Tuzla, Bosnia and Herzegovina

Current supervision

• Zhaochen Ding - Postdoctoral researcher since October 2025
• Vladimir Jankovic - PhD student since October 2025

Research projects

• J1-70035 - Symmetries of graph products -1.3.2026 - 28.2.2029 (project value 225.000 Eur) - Principal investigator - Funded by the Slovenian Research and Innovation Agency

Organized Events

Future Events

• 11th Slovenian Conference on Graph Theory, Bled, Slovenia, June 20 - 26 2027 (Organizing Committee Member).

Past Events

• 12th PhD Summer School in Discrete Mathematics, Koper, Slovenia, September 7-13 2025 (Scientific and Organizing Committee Member).
• Groups, Graphs, and Everything in Between – dedicated to Dragan Marušič's 70th birthday, Bled, Slovenia (Organizing Committee Member) (2023).
• 8th European Congress of Mathematics, Portorož, Slovenia (Organizing Committee Member) (2021).
• 11th PhD Summer School in Discrete Mathematics, Koper, Slovenia, June 25-July 1 2023. (Scientific and Organizing Committee Member).
• 10th PhD Summer School in Discrete Mathematics, Rogla, Slovenia, 26 June - 2 July 2022. (Scientific and Organizing Committee Member).
• 9th PhD Summer School in Discrete Mathematics, Rogla, Slovenia, June 30 - July 6, 2019 (Scientific and Organizing Committee Member).
• 9th Slovenian International Conference on Graph Theory, Bled, Slovenia (Organizing Committee Member) (2019).
• 8th PhD Summer School in Discrete Mathematics, Rogly, Slovenia, July 1 - July 7, 2018 (Scientific and Organizing Committee Member).
• 7th PhD Summer School in Discrete Mathematics, Rogla, Slovenia, July 23 - July 29, 2017 (Organizing Committee Member).
• 2016 PhD Summer School in Discrete Mathematics, Rogla, Slovenia, June 26 - July 2, 2016 (Organizing Committee Member).
• 2015 PhD Summer School in Discrete Mathematics , Rogla, Slovenia, June 27 - July 3, 2015 (Organizing Committee Member).
• 2014 PhD Summer School in Discrete Mathematics , Rogla, Slovenia, June 29 - July 5, 2014 (Organizing Committee Member).
• 2013 PhD Summer School in Discrete Mathematics , Rogla, Slovenia, June 16 - 21, 2013 (Organizing Committee Member).
• CSD 6 - Computers in Scientific Discovery 6, Portorož, Slovenia (Organizing Committee Member) (2012).

Publications

• DOBSON, Edward Tauscher, HUJDUROVIC, Ademir, IMRICH, Wilfried, ORTNER, Ronald. On cubic vertex-transitive graphs of given girth. The art of discrete and applied mathematics. 2025, vol. 8, no. 1. https://adam-journal.eu/index.php/ADAM/article/view/1724

• DOBSON, Edward Tauscher, HUJDUROVIC, Ademir, KUTNAR, Klavdija, MORRIS, Joy. Classification of vertex-transitive digraphs of order a product of two distinct primes via automorphism group. The Electronic journal of combinatorics. 2025, vol. 32, iss. 2, article no. p2.34 https://www.combinatorics.org/ojs/index.php/eljc/article/view/v32i2p34/pdf

• HUJDUROVIC, Ademir, KOVÁCS, István. Stability of Cayley graphs and Schur rings. The Electronic journal of combinatorics. 2025, vol. 32, iss. 2, article no. p2.49 https://www.combinatorics.org/ojs/index.php/eljc/article/view/v32i2p49/pdf

• HUJDUROVIĆ, Ademir, KOVÁCS, István, KUTNAR, Klavdija, MARUŠIČ, Dragan. Intersection density of transitive groups with small cyclic point stabilizers. European journal of combinatorics, Feb. 2025, vol. 124, [article no.] 104079, pp. 1-13. ISSN 0195-6698. https://doi.org/10.1016/j.ejc.2024.104079

• HUJDUROVIĆ, Ademir, MITROVIĆ, Ðorđe. Some conditions implying stability of graphs. Journal of graph theory, 2024, vol. 105, iss. 1, pp. 98-109. ISSN 0364-9024. https://doi.org/10.1002/jgt.23018

• HUJDUROVIĆ, Ademir, MITROVIĆ, Ðorđe, MORRIS, Dave Witte. Automorphisms of the double cover of a circulant graph of valency at most 7. Algebraic combinatorics, 2023, vol. 6, iss. 5, pp. 1235-1271. ISSN 2589-5486. https://doi.org/10.5802/alco.303

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MARUŠIČ, Dragan, MIKLAVIČ, Štefko. Intersection density of transitive groups of certain degrees. Algebraic combinatorics, 2022, vol. 5, iss. 2, pp. 289-297. ISSN 2589-5486. https://doi.org/10.5802/alco.209

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MARUŠIČ, Dragan, MIKLAVIČ, Štefko. On maximum intersecting sets in direct and wreath product of groups. European journal of combinatorics, 2022, vol. 103, art. 103523, pp. 1-11. ISSN 0195-6698. https://doi.org/10.1016/j.ejc.2022.103523

• FERNÁNDEZ, Blas, HUJDUROVIĆ, Ademir. On some problems regarding distance-balanced graphs. European journal of combinatorics, 2022, vol. 106, art. 103593, pp. 1-14. ISSN 0195-6698. https://doi.org/10.1016/j.ejc.2022.103593

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, KUZMA, Bojan, MARUŠIČ, Dragan, MIKLAVIČ, Štefko, OREL, Marko. On intersection density of transitive groups of degree a product of two odd primes. Finite fields and their applications, Feb. 2022, vol. 78, pp. 1-10. ISSN 1071-5797. https://doi.org/10.1016/j.ffa.2021.101975

• HUJDUROVIĆ, Ademir, POTOČNIK, Primož, VERRET, Gabriel. Three local actions in 6-valent arc-transitive graphs. Journal of graph theory, Feb. 2022, vol. 99, iss. 2, pp. 207-216. ISSN 0364-9024. https://doi.org/10.1002/jgt.22735

• HUJDUROVIĆ, Ademir, MITROVIĆ, Đorđe, MORRIS, Dave Witte. On automorphisms of the double cover of a circulant graph. The Electronic journal of combinatorics, [Online ed.], 2021, iss. 4, paper p4.43, pp. 1-25. ISSN 1077-8926. https://doi.org/10.37236/10655

• CONDER, Marston D. E., HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MARUŠIČ, Dragan. Symmetric cubic graphs via rigid cells. Journal of algebraic combinatorics, 2021, vol. 53, iss. 3, pp. 1-15. ISSN 0925-9899. https://doi.org/10.1007/s10801-020-00946-3

• FERNÁNDEZ, Blas, HUJDUROVIĆ, Ademir. Canonical double covers of circulants. Journal of combinatorial theory. Series B, May 2022, vol. 154, pp. 49-59. ISSN 0095-8956. https://doi.org/10.1016/j.jctb.2021.12.005

• EKIM, Tinaz, GOZÜPEK, Didem, HUJDUROVIĆ, Ademir, MILANIČ, Martin. Mind the independence gap. Discrete mathematics, 2020, vol. 343, iss. 9, pp. 1-11. ISSN 0012-365X. https://doi.org/10.1016/j.disc.2020.111943

• HUJDUROVIĆ, Ademir. Strong cliques in vertex-transitive graphs. Journal of graph theory, 2020, vol. 95, iss. 4, pp. 543-564. ISSN 0364-9024. https://doi.org/10.1002/jgt.22573

• FENG, Yan-Quan, HUJDUROVIĆ, Ademir, KOVÁCS, István, KUTNAR, Klavdija, MARUŠIČ, Dragan. Quasi-semiregular automorphisms of cubic and tetravalent arc-transitive graphs. Applied mathematics and computation, 2019, vol. 353, pp. 329-337. ISSN 0096-3003. https://doi.org/10.1016/j.amc.2019.01.048

• HUSIĆ, Edin, LI, Xinyue, HUJDUROVIĆ, Ademir, MEHINE, Miika, RIZZI, Romeo, MÄKINEN, Veli, MILANIČ, Martin, TOMESCU, Alexandru I. MIPUP: minimum perfect unmixed phylogenies for multi-sampled tumors via branchings and ILP. Bioinformatics, 2019, vol. 35, iss. 5, pp. 769-777. DOI: 10.1093/bioinformatics/bty683

• HUJDUROVIĆ, Ademir Graphs with Cayley canonical double covers. Discrete Mathematics, 2019, vol. 342, iss. 9, pp. 2542-2548. DOI: 10.1016/j.disc.2019.05.018

• HUJDUROVIĆ, Ademir, MILANIČ, Martin, RIES, Bernard Detecting strong cliques. Discrete Mathematics, 2019, vol. 342, iss. 9, pp. 2738-2750. DOI: 10.1016/j.disc.2019.06.010

• HUJDUROVIĆ, Ademir, HUSIĆ, Edin, MILANIČ, Martin, RIZZI, Romeo, TOMESCU, Alexandru I. Perfect phylogenies via branchings in acyclic digraphs and a generalization of Dilworth's theorem. ACM Transactions on Algorithms, 2018, vol. 14, no. 2, article 20, 26 pages. DOI: 10.1145/3182178

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MARUŠIČ, Dragan On normality of n-Cayley graphs. Applied Mathematics and Computation, 2018, vol. 332, pp. 469-476. DOI: 10.1016/j.amc.2018.03.054

• HUJDUROVIĆ, Ademir On some properties of quasi-distance-balanced graphs. Bulletin of the Australian Mathematical Society, 2018, vol. 97, iss. 2, pp. 177-184. DOI: 10.1017/S000497271700096X

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MARUŠIČ, Dragan. Enumerating graphs via even/odd dichotomy. Discrete Applied Mathematics. 2018, vol. 247, pp. 252-262. DOI: 10.1016/j.dam.2018.03.047

• EKIM, Tinaz, GOZÜPEK, Didem, HUJDUROVIĆ, Ademir, MILANIČ, Martin. On Almost Well-Covered Graphs of Girth at Least 6. Discrete Mathematics & Theoretical Computer Science. 2018, vol. 20, no. 2, pp. 1-15. Link

• HUJDUROVIĆ, Ademir, MILANIČ, Martin, RIES, Bernard. Graphs vertex-partitionable into strong cliques. Discrete Mathematics. 2018, vol. 341, iss. 5, pp. 1392-1405. DOI: 10.1016/j.disc.2018.02.013

• HUJDUROVIĆ, Ademir, KAČAR, Urša, MILANIČ, Martin, RIES, Bernard, TOMESCU, Alexandru I. Complexity and algorithms for finding a perfect phylogeny from mixed tumor samples. IEEE/ACM Transactions on Computational Biology and Bioinformatics. 2018, vol. 15, no. 1, pp. 96-108. DOI: 10.1109/TCBB.2016.2606620

• DOBSON, Edward Tauscher, HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MORRIS, Joy. Vertex-transitive digraphs with extra automorphisms that preserve the natural arc-colouring. The Australasian Journal of Combinatorics. 2017, vol. 67, pp. 88-100. Link

• ABEDI, Amirabbas, ALAEIYAN, Mehdi, HUJDUROVIĆ, Ademir, KUTNAR, Klavdija. Quasi-λ-distance-balanced graphs. Discrete Applied Mathematics. 2017, vol. 227, pp. 21-28. DOI: 10.1016/j.dam.2017.04.030

• GOZÜPEK, Didem, HUJDUROVIĆ, Ademir, MILANIČ, Martin. Characterizations of minimal dominating sets and the well-dominated property in lexicographic product graphs. Discrete Mathematics & Theoretical Computer Science. 2017, vol. 19, pp. 1-17. Link

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, PETECKI, Paweł, TANANA, Anastasiya. On automorphisms and structural properties of generalized Cayley graphs. Filomat. 2017, vol. 31, iss. 13, pp. 4033-4040. DOI: 10.2298/FIL1713033H

• DOBSON, Edward Tauscher, HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MORRIS, Joy. On color-preserving automorphisms of Cayley graphs of odd square-free order. Journal of Algebraic Combinatorics. 2017, vol. 45, iss. 2, pp. 407-422. DOI: 10.1007/s10801-016-0711-9

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MARUŠIČ, Dragan. Odd automorphisms in vertex-transitive graphs. Ars Mathematica Contemporanea. 2016, vol. 10, no. 2, pp. 427-437. Link

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MORRIS, Dave Witte, MORRIS, Joy. On colour-preserving automorphisms of Cayley graphs. Ars Mathematica Contemporanea. 2016, vol. 11, no. 1, pp. 189-213. Link

• HUJDUROVIĆ, Ademir, HUSIĆ, Edin, MILANIČ, Martin, RIZZI, Romeo, TOMESCU, Alexandru I. The minimum conflict-free row split problem revisited. In BODLAENDER, Hans L. & WOEGINGER, Gerhard J. (Eds.). Graph-theoretic Concepts in Computer Science. 2017, pp. 303-315. DOI: 10.1007/978-3-319-68705-6_23

• HUJDUROVIĆ, Ademir, KAČAR, Urša, MILANIČ, Martin, RIES, Bernard, TOMESCU, Alexandru I. Finding a perfect phylogeny from mixed tumor samples. Algorithms in bioinformatics, Lecture notes in computer science, 9289, pp. 80-92. Springer Link

• DOBSON, Edward Tauscher, HUJDUROVIĆ, Ademir, MILANIČ, Martin, VERRET, Gabriel. Vertex-transitive CIS graphs. European journal of combinatorics, vol. 44, part A, pp. 87-98. ScienceDirect

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MARUŠIČ, Dragan. Vertex-transitive generalized Cayley graphs which are not Cayley graphs. European journal of combinatorics, vol. 46, pp. 45-50. DOI

• DARDA, Ratko, HUJDUROVIĆ, Ademir. On bounds for the product irregularity strength of graphs. Graphs and combinatorics, vol. 31, issue 5, pp. 1347-1357. DOI

• ANTONČIČ, Iva, HUJDUROVIĆ, Ademir, KUTNAR, Klavdija. A classification of pentavalent arc-transitive bicirculants. Journal of algebraic combinatorics, vol. 41, no. 3, pp. 643-668. Springer Link

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MARUŠIČ, Dragan. Half-arc-transitive graphs with small number of alternets. Journal of combinatorial theory, Series A, vol. 124, issue 2, pp. 114-129. DOI

• HUJDUROVIĆ, Ademir. Quasi m-Cayley circulants. Ars mathematica contemporanea, vol. 6, no. 1, pp. 147-154. doi.org/10.26493/1855-3974.256.e06

• HUJDUROVIĆ, Ademir, KUTNAR, Klavdija, MARUŠIČ, Dragan. On prime-valent symmetric bicirculants and Cayley snarks. Geometric science of information, Lecture notes in computer science, 8085, pp. 196-203. DOI

• HUJDUROVIĆ, Ademir. On tetravalent near-bipartite arc-transitive circulants. Mathematica Balkanica, New series, vol. 25, no. 5, pp. 505-510.