A. A. Makhnev, D. V. Paduchikh, “The largest Moore graph and a distance-regular graph with intersection array <nobr>$\{55,54,2;1,1,54\}$</nobr>”, Algebra Logika, 2020, Volume 59, Number 4,Pages <nobr>471

The largest Moore graph and a distance-regular graph with intersection array $\{55,54,2;1,1,54\}$

A. A. Makhnev, D. V. Paduchikh

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

Abstract: We point out possible automorphisms of a distance-regular graph $\Gamma$ with intersection array $\{55,54,2;1,1,54\}$ and spectrum $55^1,7^{1617},-1^{110},-8^{1408}$.

Keywords: Moore graph, distance-regular graph, automorphism.

UDC: 519.17+512.54

Received: 14.02.2019
Revised: 24.11.2020

DOI: 10.33048/alglog.2020.59.404