First name: Primož
Family name: Potočnik
Email:
Professor of Mathemathics
Faculty of Mathemathics and Physics,
University of Ljubljana
also affiliated with:
Institute of Mathematics, Physics, and Mechanics
I am a professor of mathematics at the University of Ljubljana. My professional interesets lie at the interesection of group theory and combinatorics. In particular, I'm interested in highly symmetrical combinatorial objects, such as vertex-transitive graphs, regular maps etc. I am heading the Group for Computationally Intensive Mathematical Methods.
Research
Datasets of Highly Symmetric Objects: I maintain a webpage graphsym.net, containing several datasets of highly symmetric graphs and other combinatorial objects, such as the Foster census of cubic arc-transitive graphs, census of rotary maps, a census of cubic vertex-transitive graphs, 4-valent arc-transitive graph etc.
Slides from some of my conference talks:
- Datasets of regular maps and their skeletons. GEMS'25, Trenčianske Teplice, Slovakia, June 2025.
- Generating and cataloging symmetric graphs. ITAT'24, Drienica, Slovakia, September 2024.
- Cycle regularity of cubic vertex-transitive graphs. International Workshop on Optimal Network Topologies (IWONT'23), Edinburgh, July 2023.
- Fixity of graphs. SODO'20, Rotorua, New Zealand, February 2020.
- Controlling the automorphism group of a covering graph. International Workshop on Symmetries of Graphs and Networks, Sanya, January, 2018.
Outreach and Service
A Series of Slovenian Graph Theory conferences: I am a member of the scientific committee of a quadrennial Slovenian Conference on Graph Theroy (SiCGT). The last installment in this series took place in Kranjska Gora in 2023. The next one will occur in 2027.
Society of mathematicians, physicists and astronomers of Slovenia: Between 2023 and 2024 I served as the president of the Slovenian math, physics and anstronomy society (DMFA).
Council of the European Mathematical Society: I serve as a member of the Council of the European Mathematical Society.
Useful Links
- Combinatorics Wiki
- Robert Jajcay's Homepage
- Marston Conder's Homepage
- Steve Wilson's census of edge-transitive tetravalent graphs
- Peter Cameron's Homepage
- Keith Conrad's expository papers
- House of graphs
- PHOEG Web UI, for exploring databases of small graphs in order to obtain extremal graphs
- Dejavu, a Monte Carlo solver for detecting symmetry, by Markus Anders and Pascal Schweitzer
- Graph visualiser, a web based tool for visualising (smaller) graphs using spring embedder. Developed by Gregor Potočnik.
- Nauty and Traces, a C library for computing automorphism groups of graphs