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JOURNALS // Vladikavkazskii Matematicheskii Zhurnal // Archive

Vladikavkaz. Mat. Zh., 2010 Volume 12, Number 4, Pages 49–59 (Mi vmj363)

This article is cited in 2 papers

On automorphisms of strongly regular graphs with parameters $(243,66,9,21)$

A. A. Makhneva, A. A. Tokbaevab

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

Abstract: Orders and fixed-point subgraphs of automorphisms of strongly regular graphs with parameters $(243,66,9,21)$ are found. These results will be useful for investigations of automorphisms of strongly regular graphs with parameters $(640,243,66,108)$ (in such graph neighborhoods of vertices are strongly regular with parameters $(243,66,9,21)$).

Key words: strongly regular graph, automorphism group.

UDC: 519.17+512.54

Received: 07.04.2010



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