Research papers

Automorphisms of strongly regular graph, in which neighborhoods of vertices are pseudogeometric graphs for $pG_2(4,9)$

N. V. Chuksina

Institute of Mathematics and Mechanics, Ural Branch of the AS of USSR, Ekaterinburg

Abstract: Let $\Gamma$ be a strongly regular graph with parameters $(210,95,40,45)$. In this work it is obtained possible orders and subgraphs of fixed points automorphisms of $\Gamma$ in the case, when $[a]$ is a point graph of partial geometry $pG_2(4,9)$ for every vertex $a$ of $\Gamma$.

Keywords: strongly regular graph, automorphism, neighborhood of vertices.

UDC: 512.54, 519.17

MSC: 05C25

Received April 10, 2009, published May 15, 2009

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