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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 802–809
DOI: https://doi.org/10.17377/semi.2015.12.066 (Mi semr629) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematical logic, algebra and number theory

On automorphisms of a distance-regular graph with intersection array $\{75,72,1;1,12,75\}$

A. A. Makhneva, N. V. Chuksinab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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DOI: https://doi.org/10.17377/semi.2015.12.066
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 $\{75,72,1;1,12,75\}$. 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
Received October 29, 2015, published November 6, 2015
Document Type: Article
UDC: 519.17
MSC: 05C25
Language: Russian
Citation: A. A. Makhnev, N. V. Chuksina, “On automorphisms of a distance-regular graph with intersection array $\{75,72,1;1,12,75\}$”, Sib. Èlektron. Mat. Izv., 12 (2015), 802–809
Citation in format AMSBIB
\Bibitem{MakChu15}
\by A.~A.~Makhnev, N.~V.~Chuksina
\paper On automorphisms of a distance-regular graph with intersection array $\{75,72,1;1,12,75\}$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 802--809
\mathnet{http://mi.mathnet.ru/semr629}
\crossref{https://doi.org/10.17377/semi.2015.12.066}
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