Elsevier

Electronic Notes in Discrete Mathematics

Volume 43, 5 September 2013, Pages 227-230
Electronic Notes in Discrete Mathematics

Arc transitive distance regular covers of cliques

https://doi.org/10.1016/j.endm.2013.07.037Get rights and content

Abstract

It is consider edge-symmetric distance-regular graph Γ with intersection array {k,(r1)μ,1;1,μ,k}. Let G=Aut(Γ). Then G acts two-transitively on the set Σ of antipodal classes (fibres) of Γ. This graphs are classified in the next cases: 1) r=2 or r=k, 2) λ=μ, 3) G contains abelian normal subgroup N regular on Σ (affine case).

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Supported by the Russian Foundation for Basic Researchers with National Science Fund of China, joint project 12-01-91155 and by the Russian Fund for Basic Researchers, project 12-01-00012

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