Projects

Research projects:

• J1-3003 Groups, posets, and complexes (2021-2024), basic research project, PI Russ Woodroofe.
• J1-3002 Matchings and edge colorings in cubic graphs (2021-2024), basic research project, PI Riste Škrekovski.
• J1-3001 Terwilliger algebra of a graph (2021-2024), basic research project, PI Štefko Miklavič.
• N1-0210 Graph Theory in Preserver Problems (2021-2024), customized project, PI Bojan Kuzma.
• N1-0209 Tools for innovative drug design (2021-2024), customized project, PI Dušanka Janežič.
• N1-0208 Automorphisms and Isomorphisms of Finite Graphs (2021-2024), customized project, PI Istvan Kovacs.
• J1-2451 Symmetries in Graphs via Rigid Cells (2020-2023), basic research project, PI Dragan Marušič.
• N1-0159 Designing certain discrete mathematical objects in spectral domain (2019-2022), customized project, PI Enes Pasalic.
• N1-0160 Topological and Algebraic Combinatorics (2019-2022), customized project, PI Russ Woodroofe.
• N1-0140 Geometries, Graphs, Groups and their links(2020-2023), basic bilateral research project Slovenia - Hungary, PI Istvan Kovacs.
• J1-1715 Protein interaction atlas for prediction of genetic variations involved in drug interactions and disease development (2019-2022), basic research project, PI Dušanka Janežič.
• J1-1694 Designing certain perfect discrete combinatorial objects in spectral domain (2019-2022), basic research project, PI Enes Pasalic.
• J1-9187 Action graphs and covering graph techniques (2018-2021), basic research project, PI Tomaž Pisanski.
• J1-9186 New computational tools at the PDB scale for drug discovery (2018-2021), basic research project, PI Dušanka Janežič.
• J1-1695 Distance-regular graphs: irreducible T-modules with endpoint 1 and action of the automorphism group (2019-2022), basic research project, PI Štefko Miklavič.
• N1-0102 Topics in Structural Graph Theory: Invariants, Separators, and Intersection Representations (2019-2022), customized project, PI Martin Milanič.
• J1-9108 Semiregular elements in 2-closures of solvable groups (2018-2021), basic research project, PI Dragan Marušič.
• J1-9110 Traversability of vertex-transitive graphs (2018-2021), basic research project, PI Klavdija Kutnar.
• N1-0062 Oddness in Permutation Groups (2017-2020), Research Project, leader Dragan Marušič.
• J1-7051 Independence and Domination in Structured Graph Classes (2016-2018), Basic Research Project, leader Martin Milanič.
• N1-0038 Graphs and Odd Automorphisms (2015-2018), Research Project, leader Dragan Marušič.
• J7-6828 Bounded Rationality and Economic Performance (2014-2017), Basic Research Project, leader Aljaž Ule.
• J1-6720 Algebraic Graph Theory with Applications (2014-2017), Basic Research Project, leader Dragan Marušič.
• J1-5433 Application of Semiregular Group Actions in Some Open Problems in Algebraic Graph Theory (2013-2016), Basic Research Project, leader Dragan Marušič.
• J1-4021 Algebraic Graph Theory and Applications (2011-2014), Basic Research Project, leader Dragan Marušič.
• J1-4010 Bipartite Distance-Regular Graphs (2011-2014), Basic Research Project, leader Štefko Miklavič.
• L1-4292 The Detection of Irregularities and Fraud in the Financing of the Public Health Services (2011-2014), Applied Research Project, leader Primož Potočnik.
• N1-0011 GReGAS - Geometric Representations and Symmetries of Graphs, Maps and other Discrete Structures and Applications in Science (2011-2014), ESF EuroGiga Project, leader Tomaž Pisanski. More: http://www.gregas.eu/.
• Z1-4006 Hamilton Cycles in Vertex-transitive Graphs (2011-2013), Postdoctoral Research Project, leader Klavdija Kutnar.
• Z7-4052 PH Curves and their Generalizations (2011-2013), Postdoctoral Research Project, leader Vito Vitrih.
• J1-2055 On the Problem of Existence of Semiregular Elements in 2-closed Transitive Groups with Application in Vertex-transitive Graphs (2009-2012), Basic Research Project, leader Dragan Marušič.
• Z1-9614 The Terwilliger algebra of a Q-polynomial distance-regular graph, Leonard pairs and Leonard triples (2007-2008), Postdoctoral Research Project, leader Štefko Miklavič.

Bilateral projects:

• Width parameters and graph coloring, bilateral scientific - research cooperation between RS and France (2021-2023), UP FAMNIT & CNRS - LIP.
• Computer Modeling of Biological Macromolecules, bilateral scientific - research cooperation between RS and China (2021-2023), UP FAMNIT & Fudan University.
• Post-quantum cryptanalysis of block ciphers, bilateral scientific - research cooperation between RS and Kingdom of Denmark (2020-2021), UP IAM & DTU Compute.
• Codes, their preservers, and corresponding incidence structures, bilateral scientific - research cooperation between RS and Croatia (2020-2021), UP IAM & University of Reka.
• Structural and symmetry properties of graph products, bilateral scientific - research cooperation between RS and Austria (2020-2021), UP IAM & Montanauniversitat Leoben.
• Fair division under conflict constrains, bilateral scientific - research cooperation between RS and Austria (2020-2021), UP IAM & University of Graz.
• Grafi, politopi in konfiguracije / Graphs, polytopes and configurations, bilateral scientific - research cooperation between RS and USA (2019-2021), UP IAM & University of Alaska Fairbanks.
• Problem kletk / The cage problem, bilateral scientific - research cooperation between RS and USA (2019-2021), UP IAM & Mississippi State University.
• Razlikovalno število grafov / Distinguishing number of graphs, bilateral scientific - research cooperation between RS and USA (2019-2021), UP IAM & College of William & Mary.
• Algebraične karakterizacije in kombinatorične lastnosti (ne)regularnih grafov s tankim modulom s krajiščem nič / Algebraic characterizations and combinatorial properties of (non)regular graphs with thin module of endpoint zero, bilateral scientific - research cooperation between RS and USA (2019-2021), UP IAM & University of Delaware.
• Gibanja z racionalnimi zlepki nizkih stopenj / Rational spline motions of a low degree, bilateral scientific - research cooperation between RS and USA (2019-2021), UP IAM & Mississippi State University.
• F-WORM barvanja v hereditarnih grafovskih razredih / F-WORM colorings in hereditary graph classes, bilateral scientific - research cooperation between RS and USA (2019-2021), UP IAM & Troy University.
• Kemijski grafi na steroidih / Chemical graphs on steroids, bilateral scientific - research cooperation between RS and USA (2019-2021), UP IAM & The Massachusetts College of Liberal Arts (MCLA).
• Nekateri problemi na hipergrafih, grafih ter igrah / Certain problems in hypergraphs, graphs, and games, bilateral scientific - research cooperation between RS and USA (2019-2021), UP FAMNIT & Rutgers University.
• Razvoj računalniških algoritmov za simulacije molekulske dinamike makromolekul / Computer Algorithm Development for Molecular Dynamics Simulation of Macromolecules, bilateral scientific - research cooperation between RS and USA (2019-2021), UP FAMNIT & National Institutes of Health.
• Complements of edge-regular graphs: bilateral scientific - research cooperation between RS and BiH (2019-2020), UP IAM and University of Zenica.
• Semiregular and quasi-semiregular automorphisms of graphs: bilateral scientific - research cooperation between RS and BiH (2019-2020), UP IAM and University of Tuzla.
• Quasi distance-balanced graphs: bilateral scientific - research cooperation between RS and Russia (2019 - 2020), UP IAM and Lomonosov Moscow State University.
• Extensions of a Result of Burnside: bilateral scientific - research cooperation between RS and Russia (2019 - 2020), UP IAM and Sobolev Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences.
• Connectivity of distance-biregular graphs: bilateral scientific - research cooperation between RS and Russia (2019 - 2020), UP IAM and Lomonosov Moscow State University.
• Groups, schemes and S-rings with the CI-property: theory and algorithms: bilateral scientific - research cooperation between RS and Russia (2019 - 2020), UP IAM and Steklov Mathematical Institute of Russian Academy of Sciences.
• Graphs with primitive automorphism group: bilateral scientific - research cooperation between RS and Russia (2019 - 2020), UP IAM and Federal Research Centre 'Computer Science and Control'.
• Motion design with rational curves: bilateral scientific - research cooperation between RS and Russia (2019 - 2020), UP IAM and Sobolev Institute of Mathematics of Siberian Branch of the Russian Academy of Sciences.
• Posets, combinatorics, and characteristic classes: bilateral scientific - research cooperation between RS and Russia (2019 - 2020), UP IAM and Lomonosov Moscow State University.
• Topics in graphs, hypergraphs, and positional games: bilateral scientific - research cooperation between RS and Russia (2019 - 2020), UP IAM and National Research University Higher School of Economics.
• Functions on finite fields: bilateral scientific - research cooperation between RS and Germany (2019-2021), UP IAM and Otto-von-Guericke University.
• Graph searching, graph classes, and generalizations of chordality: bilateral scientific - research cooperation between RS and Germany (2019-2021), UP IAM in BTU Cottbus-Senftenberg.
• Structural Properties of Cayley graphs: bilateral scientific - research cooperation between RS and USA (2018-2020), UP IAM and Kennesaw State University.
• Plateaued functions and their applications: bilateral scientific - research cooperation between RS and USA (2018-2020), UP IAM and Emory University.
• Symmetry in Matroids: bilateral scientific - research cooperation between RS and USA (2018-2020), UP IAM and The University of Mississippi.
• Grading in tetravalent half-arc-transitive graphs: bilateral scientific - research cooperation between RS and USA (2018-2020), UP IAM and Northern Arizona University.
• Group generation, number theory and posets of cosets: bilateral scientific - research cooperation between RS and USA (2018-2020), UP IAM and Washington University in St. Louis.
• Designs, codes, graphs and cryptography ­an interdisciplinary approach in analysis of certain discrete structures: bilateral scientific - research cooperation between RS and Croatia (2018-2019), UP IAM and University of Reka.
• Computer Algorithm Development for Binding Site Prediction in Pharmaceutical Discovery: bilateral scientific - research cooperation between RS and Germany (2018-2019), UP FAMNIT and Technische Universität Dresden.
• Cliques and Spanning Trees under Budget Constraints: bilateral scientific - research cooperation between RS and Austria (2018-2019), UP IAM and University of Graz.
• Color Preserving Automorphisms: bilateral scientific - research cooperation between RS and USA (2018-2019), UP IAM and Mississippi State University.
• Hamiltonicity of vertex-transitive graphs: bilateral scientific - research cooperation between RS and USA (2018-2019), UP IAM and Vanderbilt University.
• Bipartite distance-regular graphs with exactly two irreducible T-modules with endpoint 2, both thin: subspace MW: bilateral scientific - research cooperation between RS and USA (2018-2019), UP IAM and Seattle University.
• Studies in graph representations: dual graphs on surfaces, Cartesian dimension, and readability of graphs: bilateral scientific - research cooperation between RS and USA (2018-2019), UP IAM and Rutgers University.
• Nonparametric statistics, Brownian motion and analysis: bilateral scientific - research cooperation between RS and USA (2018-2019), UP IAM and University of Washington.
• Graph structures and efficient algorithms for optimization problems: bilateral scientific - research cooperation between RS and Germany (2017 - 2019), UP IAM and BTU Cottbus-Senftenberg.
• Mathematical Fundations of Selected Topics in Science: From Mathematical Chemistry to Discrete Biomathematics (MathChemBio): bilateral scientific - research cooperation between RS and Germany (2017 - 2019), UP IAM and University of Leipzig.
• On odd automorphisms in vertex-transitive (di)graphs: bilateral scientific - research cooperation between RS and Russia (2016 - 2018), UP IAM and Sobolev Institute of Mathematics, Novosibirsk.
• Quasi-coverings and Finite Group Actions on Graphs, II: bilateral scientific - research cooperation between RS and Russia (2016 - 2018), UP IAM and Sobolev Institute of Mathematics, Novosibirsk.
• Matrix structural relations: bilateral scientific - research cooperation between RS and Russia (2016 - 2018), UP FAMNIT and Lomonosov Moscow State University.
• Computer Algorithm Development for Binding Site Prediction in Pharmaceutical Discovery: bilateral scientific - research cooperation between RS and Russia (2016 - 2018), UP FAMNIT and Institute of Biomedical Chemistry.
• Domination concept in Cayley graphs: bilateral scientific - research cooperation between RS and Republic of Turkey (2016-2018), UP IAM and Gebze Technical University.
• Strongly extendible graphs: bilateral scientific - research cooperation between RS and BiH (2016-2017), UP IAM and University of East Sarajevo.
• Half-arc-transitive graphs: bilateral scientific - research cooperation between RS and BiH (2016-2017), UP IAM and University of East Sarajevo.
• Abstract polygonal complexes and their representations: bilateral scientific - research cooperation between RS and USA (2016-2017), UP IAM and Northeastern University.
• Some combinatorial problems: graphs, hypergraphs, and positional games: bilateral scientific - research cooperation between RS and USA (2016-2017), UP IAM and Rutgers University.
• Abstract polytopes, groups and cyclic configurations: bilateral scientific - research cooperation between RS and USA (2016-2017), UP IAM and University of Alaska Fairbanks.
• Computer Algorithm Development for Binding Site Prediction in Pharmaceutical Discovery: bilateral scientific - research cooperation between RS and Austria (2016-2017), UP FAMNIT in University of Vienna.
• Interlacing inequalities for simplicial complexes: bilateral scientific - research cooperation between RS and USA (2015-2016), UP IAM and Mississippi State University.
• The Use of Dynamical Mechanical Analysis (DMA) to Characterize Thermo-Hydro-Mechanically Densified Wood: bilateral scientific - research cooperation between RS and USA (2015-2016), UP IAM and US Forest Service, Forest Products Laboratory.
• Snap.py - a Pythonic interface to the large network analysis library SNAP: bilateral scientific - research cooperation between RS and USA (2015-2016), UP IAM and Stanford University.
• Cryptographic Boolean Functions and Graph Theory: bilateral scientific - research cooperation between RS and USA (2015-2016), UP IAM and Naval Postgraduate School.
• Bipartite distance-regular graphs: irreducible T-modules with endpoint 2: bilateral scientific - research cooperation between RS and USA (2015-2016), UP IAM and University of Wisconsin ­ Madison.
• Hamiltonicity of vertex-transitive graphs: bilateral scientific - research cooperation between RS and USA (2015-2016), UP IAM and Vanderbilt University.
• Computer Algorithm Development for Molecular Dynamics Simulation: bilateral scientific - research cooperation between RS and USA (2015-2016), UP IAM and NIH/NHLBI/Lab. of Computational Biology.
• Packing and Covering Problems in Graphs and Hypergraphs - research cooperation between RS and Argentina (2015-2017), UP IAM and Universidad Nacional de Rosario.
• Structural and Algorithmic Aspects of Graph Classes Defined by Cliques and Stable Sets - research cooperation between RS and Republic of France PROTEUS (2015-2016), UP IAM and LAMSADE - CNRS UMR 7243 - Université Paris Dauphine.
• Algebraic Aspects of Graph Theory: bilateral scientific - research cooperation between RS and Republic of Serbia (2014-2015), UP IAM and University of Niš.
• Theoretical properties of the Adriatic indices and the Adriatic matrices: bilateral scientific - research cooperation between RS and Republic of Croatia (2014-2015), UP IAM and University of Split.
• New Trends in Matching Theory: bilateral scientific - research cooperation between RS and Republic of Turkey (2014-2016), UP IAM and Boğaziçi University.
• Using probability in Graph Theory and Networks: bilateral scientific - research cooperation between RS and USA (2014-2015), UP Famnit and University of California ‐ Davis.
• Abstract polygonal complexes and their representations: bilateral scientific - research cooperation between RS and USA (2014-2015), UP IAM and Northeastern University.
• Cliques, stable sets, and graph classes: bilateral scientific - research cooperation between RS and USA (2014-2015), UP IAM and Rutgers University, RUTCOR.
• Quasi-coverings and Finite Group Actions on Graphs: bilateral scientific - research cooperation between RS and Russia (2014 - 2015), UP IAM in Sobolev Institute of Mathematics, Novosibirsk.
• Cycles and Paths in Symmetric Graphs: bilateral scientific - research cooperation between RS and Russia (2014 - 2015), UP IAM in Sobolev Institute of Mathematics, Novosibirsk.
• Schur Groups, Separable S-rings and Applications: bilateral scientific - research cooperation between RS and Russia (2014 - 2015), UP IAM in St. Petersburg Department of Steklov Institute of Mathematics of the Russian Academy of Sciences.
• Symmetry properties in science based on combinatorial mathematics, bilateral scientific - research cooperation between RS and S. Korea (2013-2014),  UP IAM and Yeungnam University.

• Resolving the conjecture on almost cospectrality of the components of NEPS of graphs: bilateral scientific - research cooperation between RS and USA (2013-2014),  UP IAM and University of Wisconsin - Madison.

• Hamiltonicity of Vertex-transitive graphs: bilateral scientific - research cooperation between RS and USA (2013-2014),  UP IAM and Vanderbilt University.

• Research cooperation Slovenia - Spain: Permutation Groups (2012).

• Research cooperation Slovenia - Spain: Strongly Regular (Di)graphs and Quasi m-Cayley Graphs (2012).

• Research cooperation Slovenia - Spain: Mathematical modeling of HIV vaccine design (2012).

• Research cooperation Slovenia - Canada: Hamiltonicity of Cayley Graphs (2012).

• Research cooperation Slovenia - New Zealand: Half-arc-transitive Graphs (2012).

• Research cooperation Slovenia - New Zealand: Algorithmic Aspects of Covering Projections (2012).

• Research cooperation Slovenia - Mexico: Symmetries in Graphs and Polytops (2012).

• Research cooperation Slovenia - Australia: Semiregular Automorphisms (2012).

• Research cooperation Slovenia – South Africa: Graph Enumeration (2012).

• Research cooperation Slovenia - Iran: Semiregular Automorphisms (2012).

• Research cooperation Slovenia - Switzerland: Graphing Polynomials (2012).

• Research cooperation Slovenia – Germany: Schur Rings in Algebraic Graph Theory (2012).

• Research cooperation Slovenia - Israel: Methods of Association Schemes in Algebraic Graph Theory (2012).

• Graph Width Parameters and Graph Powers: bilateral scientific - research cooperation between RS and Argentina (2012-2014), UP IAM and Universidad Nacional de La Plata.

• Strongly Regular (Di)graphs: bilateral scientific - research cooperation between RS and USA (2012-2013), UP IAM and Worcester Polytechnic Institute.

• Numerical Characterizations of Graph Theoretic Properties: bilateral scientific - research cooperation between RS and USA (2012-2013), UP IAM and Rutgers Center for Operations Research.
• Schurian and Separable Schur Rings: bilateral scientific - research cooperation between RS and Russia (2012-2013), UP IAM and St. Petersburg Department of Steklov Institute of the Russian Academy of Sciences.
• Mathematical Models of Evolutionary Dynamics of Infectious Diseases with Different Modes of Transmission: bilateral scientific - research cooperation between RS and Finland (2012-2013), UP IAM and Department of Mathematics and Statistics, University of Helsinki.
• Algebraic Aspects of Symmetry in Topology and Combinatorics: bilateral scientific - research cooperation between RS and S. Korea (2011-2012), UP IAM and POSTECH.
• Geometries, graphs, groups and their links II: bilateral scientific - research cooperation between RS and Hungary (2011-2012), UP PINT and University of Pecs.
• Algebraic Techniques for three Problems in Graph Theory: bilateral scientific - research cooperation between RS and Flemish Community and Flemish Region (2011-2012), UP PINT and Free university Brussels.
• Algebraic, Topological and Algoritmic Methods in the Classification of Discrete Structures: bilateral scientific - research cooperation between RS and Slovakia (2011-2012), UP IAM and Katedra informatiky, FMFI, Univerzita Komenskeho (Jan Bod'a).
• Research cooperation Slovenia - Australia: The Existence of Semiregular Elements in the Permutation Groups (2011), UP PINT and University of Western Australia, The University of Newcastle, University of Melbourne.
• Research cooperation Slovenia - Israel: Schur Rings, Coherent Configurations and Association Schemes (2011), UP PINT and Netanya Academic College.
• Research cooperation Slovenia - Israel: Clique-independent Sets and Graph Classes (2011), UP PINT and Ariel University Center of Samaria.
• Research cooperation Slovenia - Canada: Hamiltonian Cycles in Cayley Graphs (2011), UP PINT and University of Lethbridge.
• Research cooperation Slovenia - Mexico: Moore Graphs and Cages (2011), UP PINT and National University of Mexico.
• Research cooperation Slovenia - New Zealand: Half-arc-transitive Graphs (2011), UP PINT and University of Auckland.
• Research cooperation Slovenia - Spain: Strongly Regular (Di)graphs (2011), UP PINT and University of the Basque Country.
• Research cooperation Slovenia - Canada: Graph Symmetry (2011), UP PINT and York University.
• Research cooperation Slovenia - Bulgaria: Tempus Course "Algebraic Combinatorics, Computability and Complexity" (2011), UP PINT and Postgraduate School in Sofia.
• Research cooperation Slovenia - Switzerland: Adhezijski potencial zgoščenega lesa (2011), UP PINT in Bern University of Applied Sciences.
• S-rings and their Applications in Algebraic Graph Theory and Finite Geometry: bilateral scientific - research cooperation between RS and Russia (2010-2011),  UP PINT and St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences.
• Research cooperation Slovenia - Mexico: Moore Graphs (2010), UP PINT and National University of Mexico.
• Research cooperation Slovenia - Australia: The Existence of Semiregular Elements in the Permutation Groups (2010), UP PINT and University of Western Australia.
• Research cooperation Slovenia - Spain: Strongly Regular Graphs (2010), UP PINT and University of the Basque Country.
• Research cooperation Slovenia - New Zealand: Half-arc-transitive Graphs (2009-2010), UP PINT and University of Auckland.
• Hamiltonicity of Vertex-transitive Graphs: bilateral scientific - research cooperation between RS and USA (2011-2012), UP PINT in Ohio State University.
• Research cooperation Slovenia - Canada: Hamiltonian Cycles in Cayley Graphs (2010), UP PINT and University of Lethbridge.
• Transitive Group Actions with Applications in Combinatorics: bilateral scientific - research cooperation between RS and China (2009-2012),  UP PINT and Beijing Jiaotong University.
• Semiregular Automorphisms in Vertex-transitive Graphs: bilateral scientific - research cooperation between RS and USA (2009-2012),  UP PINT and Mississipi State University.
• Bipartite Distance-regular Graphs: bilateral scientific - research cooperation between RS and USA (2009-2010),  UP PINT and University of Wisconsin - Madison.
• Vertex-transitive Graphs: Hamiltonicity and Semiregularity: bilateral scientific - research cooperation between RS and USA (2008-2010),  UP PINT and Ohio State University.
• Selected Topic from Algebraic Combinatorics: bilateral scientific - research cooperation between RS and Serbia (2008-2009),  UP PINT and University of Niš.