Abstract:
Let $\mathcal{F}$ be a class of graphs. We call a graph $\Gamma$ a locally$\mathcal{F}$-graph if $[a]\in\mathcal{F}$ for every vertex $a$ of $\Gamma.$ Earlier for the class $\mathcal{F}$ consisting of pseudogeometrical graphs for $pG_{s-2}(s,t)$ the study of locally $\mathcal{F}$-graphs was reduced to investigating locally pseudo $GQ(3,t)$-graphs, $t\in\{3,5\}$. A description of completely regular locally pseudo $GQ(3,3)$-graphs is obtained in the paper.