FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 1, PAGES 117-127

On pseudogeometrical graphs for some partial geometries

A. A. Makhnev

Abstract

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It is shown that a pseudogeometrical graph G for GQ(4,12), containing a 49-coclique $ \mathcal O $, is a point graph of generalized quadrangle. Furthermore, the subgraph $ \Gamma - \mathcal O $ is strongly regular with parameters (196,39,2,9). It is proved that a pseudogeometrical graph for partial geometry pG2(5,32) is locally a GQ(4,8)-graph.

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