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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 130–136
DOI: https://doi.org/10.17377/semi.2016.13.011 (Mi semr661) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical logic, algebra and number theory

Automorphisms of a distance-regular graph with intersection array $\{45,42,1;1,6,45\}$

A. A. Makhneva, V. I. Belousovab

a Institute of Mathematics and Mechanics UB RAS, S. Kovalevskoi 16, 620990, Yekaterinburg, Russia
b Ural Federal University, Mira 16, 620000, Yekaterinburg, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.011
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 $\{45,42,1;1,6,45\}$. It is proved that this graph does not vertex-symmetric.
Keywords: distance-regular graph, automorphism group, antipodal cover.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Russian Foundation for Basic Research 14-01-31298_мол_а
Received January 13, 2016, published March 4, 2016
Bibliographic databases:
Document Type: Article
UDC: 519.17
MSC: 05C25
Language: Russian
Citation: A. A. Makhnev, V. I. Belousova, “Automorphisms of a distance-regular graph with intersection array $\{45,42,1;1,6,45\}$”, Sib. Èlektron. Mat. Izv., 13 (2016), 130–136
Citation in format AMSBIB
\Bibitem{MakBel16}
\by A.~A.~Makhnev, V.~I.~Belousova
\paper Automorphisms of a distance-regular graph with intersection array $\{45,42,1;1,6,45\}$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 130--136
\mathnet{http://mi.mathnet.ru/semr661}
\crossref{https://doi.org/10.17377/semi.2016.13.011}
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