On the Local Structure of Mathon Distance-Regular Graphs
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.
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