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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2013, Volume 10, Pages 689–698 (Mi semr461)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical logic, algebra and number theory

On automorphisms of a distance-regular graph with intersection array $\{27,24,1;1,8,27\}$

L. Yu. Tsiovkina

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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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 $\{27,24,1;1,8,27\}$. It is shown, that there exists the unique (up to isomorphism) arc-transitive distance-regular graph with intersection array $\{27,24,1;1,8,27\}$. This graph is obtainable by the Cameron construction.
Keywords: distance-regular graph, automorphism, arc-transitive graph, antipodal cover.
Received December 6, 2013, published December 17, 2013
Document Type: Article
UDC: 519.17
MSC: 05C25
Language: Russian
Citation: L. Yu. Tsiovkina, “On automorphisms of a distance-regular graph with intersection array $\{27,24,1;1,8,27\}$”, Sib. Èlektron. Mat. Izv., 10 (2013), 689–698
Citation in format AMSBIB
\Bibitem{Tsi13}
\by L.~Yu.~Tsiovkina
\paper On automorphisms of a distance-regular graph with intersection array $\{27,24,1;1,8,27\}$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2013
\vol 10
\pages 689--698
\mathnet{http://mi.mathnet.ru/semr461}
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