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Sib. Èlektron. Mat. Izv., 2019, Volume 16, Pages 493–500
(Mi semr1073)
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This article is cited in 1 scientific paper (total in 1 paper)
Discrete mathematics and mathematical cybernetics
Automorphisms of distance regular graph with intersection array $\{30,27,24;1,2,10\}$
A. A. Makhneva, V. I. Belousovab a N.N. Krasovsky Institute of Mathematics and Meckhanics, 16, S. Kovalevskoy str., Ekaterinburg, 620990, Russia
b Ural Federal University named after the first President of Russia B.N. Yeltsin, 19, Mira str., Ekaterinburg, 620002, Russia
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 $\{30,27,24;1,2,10\}$. Let $G=Aut(\Gamma)$ is nonsolvable group, $\bar G=G/S(G)$ and $\bar T$ is the socle of $\bar G$. If $\Gamma$ is vertex-symmetric then $(G)$ is $\{2\}$-group, and $\bar T\cong L_2(11)$, $M_{11}$, $U_5(2)$, $M_{22}$, $A_{11}$, $HiS$.
Keywords:
strongly regular graph, distance-regular graph, automorphism.
DOI:
https://doi.org/10.33048/semi.2019.16.031
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Bibliographic databases:
UDC:
519.17
MSC: 05C25 Received February 18, 2019, published April 12, 2019
Citation:
A. A. Makhnev, V. I. Belousova, “Automorphisms of distance regular graph with intersection array $\{30,27,24;1,2,10\}$”, Sib. Èlektron. Mat. Izv., 16 (2019), 493–500
Citation in format AMSBIB
\Bibitem{MakBel19}
\by A.~A.~Makhnev, V.~I.~Belousova
\paper Automorphisms of distance regular graph with intersection array $\{30,27,24;1,2,10\}$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 493--500
\mathnet{http://mi.mathnet.ru/semr1073}
\crossref{https://doi.org/10.33048/semi.2019.16.031}
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http://mi.mathnet.ru/eng/semr1073 http://mi.mathnet.ru/eng/semr/v16/p493
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This publication is cited in the following articles:
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A. A. Makhnev, M. S. Nirova, “O distantsionno regulyarnykh grafakh s $c_2=2$”, Diskret. matem., 32:1 (2020), 74–80
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