A. A. Makhnev, A. M. Kagazezheva, “On automorphisms of strongly regular graphs with parameters <nobr>$(320,99,18,36)$</nobr>”, Vladikavkaz. Mat. Zh., 2013, Volume 15, Number 2,Pages <nobr>58

On automorphisms of strongly regular graphs with parameters $(320,99,18,36)$

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

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

Abstract: Pseudo-geometric graph for $pG_2(5,32)$ has strongly regular subgraphs – local subgraph (pseudo-geometric graph for $GQ(4,8)$) and second neighborhood of vertex (graph with parameters $(320,99,18,36)$). In this paper it is founded orders and fixed-point subgraphs of automorphisms of strongly regular graphs with parameters $(320,99,18,36)$.

Key words: strongly regular graph, automorphism.

UDC: 519.17+512.54

Received: 23.05.2012