M. M. Isakova, A. A. Makhnev, “On automorphisms of strongly regular graph with parameters $(396,135,30,54)$”, Vladikavkaz. Mat. Zh., 12:3 (2010), 30

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Vladikavkazskii Matematicheskii Zhurnal, 2010, Volume 12, Number 3, Pages 30–40 (Mi vmj181)

This article is cited in 2 scientific papers (total in 3 papers)

On automorphisms of strongly regular graph with parameters $(396,135,30,54)$

M. M. Isakova^a, A. A. Makhnev^b

^a Kabardino-Balkar State University, Russia, Nal'chik
^b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Russia, Ekaterinburg

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Abstract: We found the possible orders and the structures of subgraphs of the fixed points of automorphisms of strongly regular graph with parameters $(396,135,30,54)$. These results can be used to study automorphisms of strongly regular graph with parameters $(640,243,66,108)$ (in such a graph the second neighborhood of vertices are strongly regular with parameters $(396,135,30,54)$).

Key words: strongly regular graph, automorphisms of graph, subgraphs of the fixed points of automorphisms.

Received: 07.04.2010

Document Type: Article

UDC: 519.17+512.54

Language: Russian

Citation: M. M. Isakova, A. A. Makhnev, “On automorphisms of strongly regular graph with parameters $(396,135,30,54)$”, Vladikavkaz. Mat. Zh., 12:3 (2010), 30–40

Citation in format AMSBIB

\Bibitem{IsaMak10}

\by M.~M.~Isakova, A.~A.~Makhnev

\paper On automorphisms of strongly regular graph with parameters $(396,135,30,54)$

\jour Vladikavkaz. Mat. Zh.

\yr 2010

\vol 12

\issue 3

\pages 30--40

\mathnet{http://mi.mathnet.ru/vmj181}

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https://www.mathnet.ru/eng/vmj/v12/i3/p30

This publication is cited in the following 3 articles:

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