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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 795–801
DOI: https://doi.org/10.17377/semi.2015.12.065 (Mi semr628) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematical logic, algebra and number theory

Automorphisms of a distance-regular graph with intersection array $\{100,66,1;1,33,100\}$

K. S. Efimova, A. A. Makhnevb

a Ural Federal University, str. Mira, 15, 620000, Ekaterinburg, Russia
b N.N. Krasovsky Institute of Mathematics and Meckhanics, str. S. Kovalevskoy, 4, 620990, Ekaterinburg, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.065
Abstract: A. A. Makhnev and D. V. Paduchikh have found intersection arrays of distance-regular graphs, in which neighborhoods of vertices are strongly-regular graphs with second eigenvalue $3$. A. A. Makhnev suggested the program to research of automorphisms of these distance-regular graphs. In this paper it is obtained possible orders and subgraphs of fixed points of automorphisms of a hypothetical distance-regular graph with intersection array $\{100,66,1;1,33,100\}$. In particular, this graph does not vertex symmetric.
Keywords: distance-regular graph, vertex symmetric graph.
Funding agency Grant number
Russian Science Foundation 14-11-00061
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
Russian Foundation for Basic Research 14-01-31298 мол_а
This work is partially supported by RSF, project 14-11-00061 (theorem 1 and corollary) and by the program of the government support of leading universities of Russian Federation, agreement №02.A03.21.0006 from 27.08.2013 (theorem 2). Thirst author also supported by the RFBR (project 14-01-31298).
Received October 27, 2015, published November 6, 2015
Document Type: Article
UDC: 519.17
MSC: 05C25
Language: English
Citation: K. S. Efimov, A. A. Makhnev, “Automorphisms of a distance-regular graph with intersection array $\{100,66,1;1,33,100\}$”, Sib. Èlektron. Mat. Izv., 12 (2015), 795–801
Citation in format AMSBIB
\Bibitem{EfiMak15}
\by K.~S.~Efimov, A.~A.~Makhnev
\paper Automorphisms of a distance-regular graph with intersection array $\{100,66,1;1,33,100\}$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 795--801
\mathnet{http://mi.mathnet.ru/semr628}
\crossref{https://doi.org/10.17377/semi.2015.12.065}
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