This article is cited in 4 papers

Mathematical logic, algebra and number theory

Automorphisms of a graph with intersection array $\{169,126,1;1,42,169\}$

A. M. Kagazezheva

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance-regular graph with intersection array $\{169,126,1;1,42,169\}$. It is obtained the description of vertex-transitive distance-regular graph with intersection array $\{169,126,1;1,42,169\}$ and nonsovable automorphism group.

Keywords: distance-regular graph, automorphism group, antipodal cover.

UDC: 519.17

MSC: 05C25

Received April 4, 2015, published May 26, 2015

DOI: 10.17377/semi.2015.12.026