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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2011 Volume 8, Pages 4–18 (Mi semr296)

This article is cited in 1 paper

Research papers

On automorphisms of a strongly regular graph $(245,64,18,16)$

A. K. Gutnova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: It was proved that a strongly regular graph in which neighborhoods of vertices are pseudogeometric graphs for $GQ(3,5)$ has the parameters $(245,64,18,16)$. In this paper we found the possible orders and the structures of subgraphs of the fixed points of automorphisms of a strongly regular graph with parameters $(245,64,18,16)$.

Keywords: automorphisms, strongly regular graph.

UDC: 519.17

MSC: 05C25

Received November 12, 2010, published January 15, 2011



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