Research Interests

  • Structural and algorithmic graph theory
  • Extremal graph theory, combinatorial limits
  • Combinatorial game theory
  • Population protocols, distributed consensus

Academic Positions

Period Position Institution
2026–Present Chair of KSPV Catedra UP FTPO
2022–Present Associate Professor UP FAMNIT, UP FTPO, UNM FIŠ
2016–2021 Docent (Assistant Professor) Faculty of Mathematics, Natural Sciences and Information Technologies (University of Primorska)
2016–2018 Postdoc (with Prof. R. Elsaesser) Efficient Algorithms Group (Salzburg University)
2015–2016 Teaching Assistant Faculty of Mathematics, Natural Sciences and Information Technologies (University of Primorska)
2013 (Autumn) Student Internship (with Prof. D. Kral) Centre for Discrete Mathematics and its Applications (University of Warwick)
2011–2015 Teaching Assistant & PhD Student Faculty of Mathematics and Physics (University of Ljubljana)
2011–2015 Young Researcher Institute of Mathematics, Physics and Mechanics (Ljubljana)

Publications

C. Hilaire, •, M. Milanic, J. Raymond Linear colorings of graphs

Year: 2026  |  Journal: Eur. J. Comb.
Full Authors: Claire Hilaire, Matjaz Krnc, Martin Milanic, Jean-Florent Raymond

D. Král', •, A. Lamaison Ramsey Multiplicity of Apices of Trees

Year: 2026  |  Journal: SIAM J. Discret. Math.
Full Authors: Daniel Král', Matjaz Krnc, Ander Lamaison

M. Chudnovsky, J. Codsi, •, M. Milanic Excluding paths and bicliques

Year: 2026  |  Journal: CoRR
Full Authors: Maria Chudnovsky, Julien Codsi, Matjaz Krnc, Martin Milanic

V. Gurvich, •, M. Milanic, M.N. Vyalyi Avoidability Beyond Paths

Year: 2025  |  Journal: Electron. J. Comb.
Full Authors: Vladimir Gurvich, Matjaz Krnc, Martin Milanic, Mikhail N. Vyalyi

N. Klobas, • Distinguishing graphs via cycles

Year: 2025  |  Journal: Discret. Appl. Math.
Full Authors: Nina Klobas, Matjaz Krnc

J. Gravner, •, M. Milanic, J. Raymond Young domination on Hamming rectangles

Year: 2025  |  Journal: CoRR
Full Authors: Janko Gravner, Matjaz Krnc, Martin Milanic, Jean-Florent Raymond

J. Beisegel, N. Chiarelli, E. Köhler, •, M. Milanic, N. Pivac, R. Scheffler, M. Strehler Sandwich Monotonicity and the Recognition of Weighted Graph Classes

Year: 2025  |  Journal: CoRR
Full Authors: Jesse Beisegel, Nina Chiarelli, Ekkehard Köhler, Matjaz Krnc, Martin Milanic, Nevena Pivac, Robert Scheffler, Martin Strehler

E. Gottlieb, D. Khatana, •, P. Mursic, I. Qureshi Row Impartial Terminus

Year: 2025  |  Journal: CoRR
Full Authors: Eric Gottlieb, Dawood Khatana, Matjaz Krnc, Peter Mursic, Ismael Qureshi

M. Chudnovsky, J.P. Gollin, •, M. Milanic Dominated balanced separators in wheel-induced-minor-free graphs

Year: 2025  |  Journal: CoRR
Full Authors: Maria Chudnovsky, Jochen Pascal Gollin, Matjaz Krnc, Martin Milanic

E. Gottlieb, •, P. Mursic Sprague-Grundy values and complexity for LCTR

Year: 2024  |  Journal: Discret. Appl. Math.
Full Authors: Eric Gottlieb, Matjaz Krnc, Peter Mursic

C. Dallard, R. Ganian, M. Hatzel, •, M. Milanic Graphs with at most two moplexes

Year: 2024  |  Journal: J. Graph Theory
Full Authors: Clément Dallard, Robert Ganian, Meike Hatzel, Matjaz Krnc, Martin Milanic

V. Gurvich, •, M.N. Vyalyi Growing Trees and Amoebas' Replications

Year: 2024  |  Journal: CoRR
Full Authors: Vladimir Gurvich, Matjaz Krnc, Mikhail N. Vyalyi

C. Dallard, •, O. Kwon, M. Milanic, A. Munaro, K. Storgel, S. Wiederrecht Treewidth versus clique number. IV. Tree-independence number of graphs excluding an induced star

Year: 2024  |  Journal: CoRR
Full Authors: Clément Dallard, Matjaz Krnc, O-joung Kwon, Martin Milanic, Andrea Munaro, Kenny Storgel, Sebastian Wiederrecht

N. Chiarelli, •, M. Milanic, U. Pferschy, N. Pivac, J. Schauer Fair Allocation of Indivisible Items with Conflict Graphs

Year: 2023  |  Journal: Algorithmica
Full Authors: Nina Chiarelli, Matjaz Krnc, Martin Milanic, Ulrich Pferschy, Nevena Pivac, Joachim Schauer

M. Akulich, I. Savnik, •, R. Skrekovski Multiset-Trie Data Structure

Year: 2023  |  Journal: Algorithms
Full Authors: Mikita Akulich, Iztok Savnik, Matjaz Krnc, Riste Skrekovski

N. Chiarelli, •, M. Milanic, U. Pferschy, J. Schauer Fair allocation algorithms for indivisible items under structured conflict constraints

Year: 2023  |  Journal: Comput. Appl. Math.
Full Authors: Nina Chiarelli, Matjaz Krnc, Martin Milanic, Ulrich Pferschy, Joachim Schauer

R. Hancock, D. Král', •, J. Volec Toward characterizing locally common graphs

Year: 2023  |  Journal: Random Struct. Algorithms
Full Authors: Robert Hancock, Daniel Král', Matjaz Krnc, Jan Volec

M. Karlovcec, •, R. Skrekovski Evaluating group degree centrality and centralization in networks

Year: 2022  |  Journal: Informatica (Slovenia)
Full Authors: Mario Karlovcec, Matjaz Krnc, Riste Skrekovski

V. Gurvich, •, M. Milanic, M.N. Vyalyi Shifting paths to avoidable ones

Year: 2022  |  Journal: J. Graph Theory
Full Authors: Vladimir Gurvich, Matjaz Krnc, Martin Milanic, Mikhail N. Vyalyi

M. Akulich, I. Savnik, •, R. Skrekovski Multiset-trie data structure - datasets (Version 1.0)

Year: 2022  | 
Full Authors: Mikita Akulich, Iztok Savnik, Matjaz Krnc, Riste Skrekovski

V. Gurvich, •, M. Milanic, M.N. Vyalyi Computer-assisted verification of confining two-rooted graphs with certain cages (Version 1.0)

Year: 2022  | 
Full Authors: Vladimir Gurvich, Matjaz Krnc, Martin Milanic, Mikhail N. Vyalyi

J. Beisegel, C. Denkert, E. Köhler, •, N. Pivac, R. Scheffler, M. Strehler The Recognition Problem of Graph Search Trees

Year: 2021  |  Journal: SIAM J. Discret. Math.
Full Authors: Jesse Beisegel, Carolin Denkert, Ekkehard Köhler, Matjaz Krnc, Nevena Pivac, Robert Scheffler, Martin Strehler

C. Dallard, R. Ganian, M. Hatzel, •, M. Milanic Graphs with Two Moplexes

Year: 2021  |  Venue: Proceedings of the XI Latin and American Algorithms, Graphs and Optimization Symposium, LAGOS 2021, Online Event / S\~ao Paulo, Brazil, May 2021
Full Authors: Clément Dallard, Robert Ganian, Meike Hatzel, Matjaz Krnc, Martin Milanic

•, N. Pivac Graphs where Search Methods are Indistinguishable

Year: 2021  |  Journal: CoRR
Full Authors: Matjaz Krnc, Nevena Pivac

•, R.J. Wilson Recognizing generalized Petersen graphs in linear time

Year: 2020  |  Journal: Discret. Appl. Math.
Full Authors: Matjaz Krnc, Robin J. Wilson

•, J. Sereni, R. Skrekovski, Z.B. Yilma Eccentricity of networks with structural constraints

Year: 2020  |  Journal: Discuss. Math. Graph Theory
Full Authors: Matjaz Krnc, Jean-Sébastien Sereni, Riste Skrekovski, Zelealem B. Yilma

N. Chiarelli, •, M. Milanic, U. Pferschy, N. Pivac, J. Schauer Fair Packing of Independent Sets

Year: 2020  |  Venue: Combinatorial Algorithms - 31st International Workshop, IWOCA 2020, Bordeaux, France, June 8-10, 2020, Proceedings
Full Authors: Nina Chiarelli, Matjaz Krnc, Martin Milanic, Ulrich Pferschy, Nevena Pivac, Joachim Schauer

G. Bankhamer, R. Elsässer, D. Kaaser, • Positive Aging Admits Fast Asynchronous Plurality Consensus

Year: 2020  |  Venue: PODC '20: ACM Symposium on Principles of Distributed Computing, Virtual Event, Italy, August 3-7, 2020
Full Authors: Gregor Bankhamer, Robert Elsässer, Dominik Kaaser, Matjaz Krnc

J. Beisegel, N. Chiarelli, E. Köhler, •, M. Milanic, N. Pivac, R. Scheffler, M. Strehler Edge Elimination and Weighted Graph Classes

Year: 2020  |  Venue: Graph-Theoretic Concepts in Computer Science - 46th International Workshop, WG 2020, Leeds, UK, June 24-26, 2020, Revised Selected Papers
Full Authors: Jesse Beisegel, Nina Chiarelli, Ekkehard Köhler, Matjaz Krnc, Martin Milanic, Nevena Pivac, Robert Scheffler, Martin Strehler

N. Klobas, • Fast recognition of some parametric graph families

Year: 2020  |  Journal: CoRR
Full Authors: Nina Klobas, Matjaz Krnc

J. Beisegel, C. Denkert, E. Köhler, •, N. Pivac, R. Scheffler, M. Strehler On the End-Vertex Problem of Graph Searches

Year: 2019  |  Journal: Discret. Math. Theor. Comput. Sci.
Full Authors: Jesse Beisegel, Carolin Denkert, Ekkehard Köhler, Matjaz Krnc, Nevena Pivac, Robert Scheffler, Martin Strehler

•, T. Pisanski Generalized Petersen graphs and Kronecker covers

Year: 2019  |  Journal: Discret. Math. Theor. Comput. Sci.
Full Authors: Matjaz Krnc, Tomaz Pisanski

J. Beisegel, C. Denkert, E. Köhler, •, N. Pivac, R. Scheffler, M. Strehler Recognizing Graph Search Trees

Year: 2019  |  Venue: Proceedings of the tenth Latin and American Algorithms, Graphs and Optimization Symposium, LAGOS 2019, Belo Horizonte, Brazil, June 2-7, 2019
Full Authors: Jesse Beisegel, Carolin Denkert, Ekkehard Köhler, Matjaz Krnc, Nevena Pivac, Robert Scheffler, Martin Strehler

G. Bankhamer, R. Elsässer, D. Kaaser, • Fast Consensus Protocols in the Asynchronous Poisson Clock Model with Edge Latencies

Year: 2018  |  Journal: CoRR
Full Authors: Gregor Bankhamer, Robert Elsässer, Dominik Kaaser, Matjaz Krnc

•, J. Sereni, R. Skrekovski, Z.B. Yilma Closeness centralization measure for two-mode data of prescribed sizes

Year: 2016  |  Journal: Netw. Sci.
Full Authors: Matjaz Krnc, Jean-Sébastien Sereni, Riste Skrekovski, Zelealem B. Yilma

•, R. Skrekovski Group centralization of network indices

Year: 2015  |  Journal: Discret. Appl. Math.
Full Authors: Matjaz Krnc, Riste Skrekovski

•, R. Skrekovski Centralization of transmission in networks

Year: 2015  |  Journal: Discret. Math.
Full Authors: Matjaz Krnc, Riste Skrekovski

J. Azarija, R. Erman, D. Král', •, L. Stacho Cyclic colorings of plane graphs with independent faces

Year: 2012  |  Journal: Eur. J. Comb.
Full Authors: Jernej Azarija, Rok Erman, Daniel Král', Matjaz Krnc, Ladislav Stacho

D. Král', •, M. Kupec, B. Luzar, J. Volec Extending Fractional Precolorings

Year: 2012  |  Journal: SIAM J. Discret. Math.
Full Authors: Daniel Král', Matjaz Krnc, Martin Kupec, Borut Luzar, Jan Volec

R. Erman, L. Kowalik, •, T. Walen Improved induced matchings in sparse graphs

Year: 2010  |  Journal: Discret. Appl. Math.
Full Authors: Rok Erman, Lukasz Kowalik, Matjaz Krnc, Tomasz Walen

Full lists available on DBLP or Google Scholar.

Grants & Awards

Year Details
2022–2024 ARRS bilateral research project (BI-US/22-24-093), with Rutgers University (USA)
2019–2021 ARRS bilateral research project (BI-US/19-21-018), with Rutgers University (USA)
2019 Erasmus+ mobility project with Brandenburg University of Technology Cottbus–Senftenberg
2016 Funds for attending São Paulo School of Advanced Science on Algorithms, Combinatorics and Optimization
2015 Award for early PhD defense
2013 Ad-futura mobility grant for PhD students (Research visit to Warwick University)

Talks & Visits

Seminar Talks & Public Lectures

Date Institution
2026 May Matematika je kul (Summer school for mathematics, UP FAMNIT)
2026 Mar. Monday with Murthay seminar, University of Haifa, Israel
2025 Nov. Rhodes College, Tennessee, USA
2025 Sep.  DIGI-MAT: Workshop on Teaching Mathematics using Digital Tools (Cryptography)
2025 Apr. FAMNIT math seminar
2024 May Fachgebiet Diskrete Mathematik und Grundlagen der Informatik (B-TU Cottbus)
2024 Feb. Rhodes College, Tennessee, USA
2024 Feb. Institute of Combinatorics, University of Memphis, USA
2023 Mar. Masaryk University, Brno, Czech Republic
2023 Mar. Fachgebiet Diskrete Mathematik und Grundlagen der Informatik (B-TU Cottbus)
2022 Aug. ORADA (Computer Science Summer School at UP FAMNIT)
2020 Mar. Masaryk University, Brno, Czech Republic
2020 Feb. Fachgebiet Diskrete Mathematik und Grundlagen der Informatik (B-TU Cottbus)
2019 Nov. Open University, Milton Keynes, UK
2019 Aug. HSE, Faculty of Computer Science, Moscow
2019 May FIN-TECH Risk management workshop on Blockchains (Joseph Stefan Institute)
2019 Jan. Matematični dan (Public Lecture, UP FAMNIT)
2018 Dec. Department of Mathematics, FAMNIT (UP)
2018 Aug. Matematika je kul (Summer school for mathematics, UP FAMNIT)
2018 Feb. Software Tools for Mathematics, SageDays’97 workshop (UP FAMNIT)
2018 Feb. Fachgebiet Diskrete Mathematik und Grundlagen der Informatik (B-TU Cottbus)
2017 Nov. Computer Laboratory (University of Cambridge)
2017 Oct. Oberseminar Arbeitsbereich ART, Fachbereich Informatik (Universität Hamburg)
2016 Jun. Efficient Algorithms Group (Salzburg University)
2016 Apr. Department of Information Science and Technologies, FAMNIT (UP)

Research Visits

  • Europe: INRIA (France), University of West Bohemia (Czech), Charles University (Czech), Pavol Jozef Šafárik University (Slovakia), Warsaw University (Poland), University of Zagreb (Croatia), LIAFA (France), Universität Hamburg (Germany), Cambridge University (UK), Brandenburgische Technische Universität (Germany), Karl-Franzens-Universität Graz (Austria), Masaryk University (Czech).
  • USA: Princeton University (NJ), Rutgers University (NJ), Rhodes College (TN), University of Memphis (TN).
  • Other: HSE (Moscow), National Institute of Informatics (Tokyo).

Organised Events

Date Event Link
2026 Oct. SCORES 2026 - 12th Student Computing Research Symposium www.scores.si
2026 Avg. SCORES 2026 - 12th Student Computing Research Symposium www.scores.si
2025 Avg. SGTAC 2026 - Structural Graph Theory Workshop on the Adriatic Coast sgtac.famnit.upr.si/
2024 Jun. WG 2024 - 50th International Workshop on Graph-Theoretic Concepts in Computer Science conferences.famnit.upr.si/event/31/
2023 Oct. SCORES 2023 - 9th Student Computing Research Symposium www.scores.si
2023 Apr. Brno-Koper Graph Theory Workshop (Gozd Martuljek, Kranjska Gora, Slovenia)  
2022 Oct. MATCOS 2022 : Middle-European Conference on Applied Theoretical Computer Science matcos.iam.upr.si
2021 Sep. GROW 2022 : The Workshop on Graph Classes, Optimization and Width Parameters grow.famnit.upr.si
2019 Oct. MATCOS 2019 : Middle-European Conference on Applied Theoretical Computer Science matcos.iam.upr.si
2019 Oct. StuCoSReC 2019 - The 6th Student Computer Science Research Conference stucosrec.feri.um.si/2019
2018 Feb. Software Tools for Mathematics, SageDays’97 workshop stm.famnit.upr.si

Research Collaborations & Students

MSc Students: Mikita Akulich, Nina Klobas, Nevena Pivač, Ina Bašić.

BSc Students: Mikita Akulich, Jelena Ilić, Đorđe Klisura, Ina Bašić, Hannah Meit.

Research Collaborators: I have had the pleasure of doing research (one week or more) with: Jernej Azarija, Vesna Andova, Nino Bašič, Gregor Bankhamer, Jesse Beisegel, Petra Berenbrink, Marthe Bonamy, Nina Chiarelli, Maria Chudnovsky, Julien Codsi, Clément Dallard, Andreas Darmann, Carolin Denkert, Zdenek Dvorak, Robert Elsaesser, Rok Erman, Robert Ganian, Frederik Garbe, Pascal Gollin, Eric Gottlieb, Janko Gravner, Vladimir Gurvich, Robert Hancock, Meike Hatzel, Frederic Havet, Claire Hilaire, Tomas Kaiser, Dominik Kaaser, Frantisek Kardos, Lukasz Kowalik, Peter Kling, Ekkehard Köhler, Daniel Kráľ, Martin Kupec, Ander Lamaison, Anita Liebenau, Borut Lužar, Aljoscha Mayer, Martin Milanič, Martina Mockovciakova, Samuel Mohr, Peter Muršič, Vít Musil, Sarka Petrickova, Ulrik Pferschy, Michał Pilipczuk, Tomaž Pisanski, Jean-Florent Raymond, Nicolás Rivera, Ondrej Rucky, Thomas Sauerwald, Joachim Schauer, Robert Scheffler, Jean-Sebastien Sereni, Ladislav Stacho, Martin Strehler, John Sylvester, Riste Škrekovski, Jan Volec, Misha Vyalyi, Tomasz Walen, Robin J Wilson, Zelealem Yilma.

Thesis Supervision

Are you considering writing a thesis under my supervision? Please identify an area of math/CS you are passionate about, then email me to arrange a meeting. Alternatively, take a look at our GRASP page.

Useful Resources

From Fan Chung’s webpage.