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Sib. Èlektron. Mat. Izv., 2019, Volume 16, Pages 493–500 (Mi semr1073)  

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.

Funding Agency Grant Number
Russian Science Foundation 14-11-00061-П


DOI: https://doi.org/10.33048/semi.2019.16.031

Full text: PDF file (168 kB)
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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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