RUS  ENG
Full version
JOURNALS // Proceedings of the Institute of Mathematics of the NAS of Belarus // Archive

Tr. Inst. Mat., 2010 Volume 18, Number 1, Pages 28–35 (Mi timb4)

This article is cited in 1 paper

On graphs the neighbourhoods of whose verticesare pseudo-geometric graphs for $GQ(3,3)$

A. K. Gutnova, A. A. Makhnev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

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.

UDC: 519.17

Received: 30.01.2010



© Steklov Math. Inst. of RAS, 2024