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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.
Received: 08.11.2016
Citation:
A. A. Makhnev, D. V. Paduchikh, “Automorphisms of graph with intersection array $\{115,96,16;1,8,92\}$”, Tr. Inst. Mat., 24:2 (2016), 91–97
Linking options:
https://www.mathnet.ru/eng/timb315 https://www.mathnet.ru/eng/timb/v24/i2/p91
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