Seminár z teórie grafov - Róbert Jajcay (8.11.2018)
vo štvrtok 8.11.2018 o 9:50 hod. v miestnosti M/213
Od: Martin Škoviera
Prednášajúci: Róbert Jajcay
Názov: A new generalization of generalized Petersen graphs
Termín: 8.11.2018, 9:50 hod., M/213
We discuss a new family of cubic graphs, which we call SGP-graphs, that bears a close resemblance to the family of generalized Petersen graphs, both in definition and properties. The focus of our presentation is on determining the algebraic properties of graphs from our new family. We look for highly symmetric graphs, e.g., graphs with large automorphism groups, vertex- or arc-transitive graphs. In particular, we present arithmetic conditions for the defining parameters that guarantee that graphs with these parameters are vertex-transitive or Cayley, and we find one arc-transitive SGP-graph which is not a generalized Petersen graph.