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JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2016 Volume 24, Number 2, Pages 91–97 (Mi timb315)

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

A. A. Makhnev, D. V. Paduchikh

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

Abstract: In [1] there were found intersection arrays of distance-regular graphs which have strongly regular neighbourhoods with second eigenvalue $t,$ $2<t\le 3.$ Within the pale of the program of investigation of automorphisms of respective graphs possible orders and subgraphs of fixed points of automorphisms of a distance-regular graph with intersection array $\{115,96,16;1,8,92\}$ are found. In particular, it is proven that in the case of existence this graph is not vertex-symmetric.

UDC: 519.17+512.54

Received: 08.11.2016



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