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 $\Gamma$ for $\mathrm{GQ}(4,12)$, 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 $\mathrm{pG}_2(5,32)$ is locally a $\mathrm{GQ}(4,8)$-graph.

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Last modified: July 8, 2002