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This article is cited in 4 scientific papers (total in 4 papers)
Mathematical logic, algebra and number theory
Automorphisms of a graph with intersection array $\{169,126,1;1,42,169\}$
A. M. Kagazezheva Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Abstract:
Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance-regular graph with intersection array $\{169,126,1;1,42,169\}$. It is obtained the description of vertex-transitive distance-regular graph with intersection array $\{169,126,1;1,42,169\}$ and nonsovable automorphism group.
Keywords:
distance-regular graph, automorphism group, antipodal cover.
Received April 4, 2015, published May 26, 2015
Citation:
A. M. Kagazezheva, “Automorphisms of a graph with intersection array $\{169,126,1;1,42,169\}$”, Sib. Èlektron. Mat. Izv., 12 (2015), 318–327
Linking options:
https://www.mathnet.ru/eng/semr589 https://www.mathnet.ru/eng/semr/v12/p318
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