On the Local Structure of Mathon Distance-Regular Graphs
- 1 Downloads
We study the structure of local subgraphs of distance-regular Mathon graphs of even valency. We describe some infinite series of locally Δ-graphs of this family, where Δ is a strongly regular graph that is the union of affine polar graphs of type “–,” a pseudogeometric graph for p G l (s, l), or a graph of rank 3 realizable by means of the van Lint–Schrijver scheme. We show that some Mathon graphs are characterizable by their intersection arrays in the class of vertex-transitive graphs.
Keywordsarc-transitive graph distance-regular graph antipodal cover Mathon graph (locally) strongly regular graph automorphism.
Unable to display preview. Download preview PDF.
- 3.A. A. Makhnev and M. S. Samoilenko, “On distance-regular covers of cliques with strongly regular neighborhoods of vertices,” in Modern Problems of Mathematics and Its Applications: Proceedings of the 46th International Youth School–Conference, Yekaterinburg, Russia, 2015 (IMM UrO RAN, Yekaterinburg, 2015), pp. 13–18.Google Scholar