M. M. Isakova, A. A. Makhnev, “On automorphisms of strongly regular graph with parameters <nobr>$(396,135,30,54)$</nobr>”, Vladikavkaz. Mat. Zh., 2010, Volume 12, Number 3,Pages <nobr>30

This article is cited in 2 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

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.

UDC: 519.17+512.54

Received: 07.04.2010