A. A. Makhnev, M. S. Nirova, D. V. Paduchikh, “On automorphisms of a distance-regular graph with intersection array <nobr>$\{204,175,48,1;1,12,175,204\}$</nobr>”, Trudy Inst. Mat. i Mekh. UrO RAN, 2016, Volume 22, Number 1,Pages <nobr>212

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On automorphisms of a distance-regular graph with intersection array $\{204,175,48,1;1,12,175,204\}$

A. A. Makhnev^ab, M. S. Nirova^ac, D. V. Paduchikh^a

^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
^c Kabardino-Balkar State University, Nal'chik

Abstract: A distance-regular graph $\Gamma$ with intersection array $\{204,175,48,1;1,12,175,204\}$ is an $AT4$-graph. The antipodal quotient $\bar \Gamma$ has parameters $(800,204,28,60)$. Automorphisms of the specified graphs are found. In particular, neither of the two graphs is edge-symmetric.

Keywords: strongly regular graph, eigenvalue of a graph, automorphism of a graph.

UDC: 519.17+512.54

Received: 27.08.2015