A. A. Makhnev, N. V. Chuksina, “On automorphisms of a distance-regular graph with intersection array <nobr>$\{75,72,1;1,12,75\}$</nobr>”, Sib. Èlektron. Mat. Izv., 2015, Volume 12,Pages <nobr>802

This article is cited in 3 papers

Mathematical logic, algebra and number theory

On automorphisms of a distance-regular graph with intersection array $\{75,72,1;1,12,75\}$

A. A. Makhnev^a, N. V. Chuksina^b

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University named after the First President of Russia B. N. Yeltsin, 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 $\{75,72,1;1,12,75\}$. It is proved that this graph does not vertex-symmetric.

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

UDC: 519.17

MSC: 05C25

Received October 29, 2015, published November 6, 2015

DOI: 10.17377/semi.2015.12.066