On distance-regular Cayley graphs on abelian groups

2012/05/31 by Miklavic, Stefko, Sparl, Primoz
#05E18 #05E30 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1205.6948

Abstract

Let G denote a finite abelian group with identity 1 and let S denote an inverse-closed subset of G ∖ 1, which generates G and for which there exists s ∈ S, such that \la S ∖ \s,s^-1\ \ra ≠ G. In this paper we obtain the complete classification of distance-regular Cayley graphs \cay(G;S) for such pairs of G and S.

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