Discrete mathematics and mathematical cybernetics

Automorphisms of Shilla graph with intersection array $\{115,96,16;1,8,92\}$

I. N. Belousov

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, S.Kovalevskaya str., 16, 620990, Yekaterinburg, Russia

Abstract: Automorphisms of a hypothetical distance-regular graph with intersection array $\{115,96,16;1,8,92\}$ are described. It is proved that a distance-regular graph with this intersection array is not vertex-transitive.

Keywords: automorphism, distance-regular graph.

UDC: 519.17

MSC: 05C25

Received March 20, 2017, published June 19, 2018

DOI: 10.17377/semi.2018.15.059

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