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 $\$\; \backslash mathcal\; O\; \$$, is
a point graph of generalized quadrangle.
Furthermore, the subgraph $\$\; \backslash Gamma\; -\; \backslash mathcal\; O\; \$$ is strongly regular with parameters
$(196,39,2,9)$.
It is proved that a pseudogeometrical graph for partial geometry
$pG$_{2}(5,32)
is locally a $GQ(4,8)$-graph.

All articles are
published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k02/k021/k02110h.htm

Last modified: July 8, 2002