This article is cited in 6 papers

RESEARCH ARTICLE

Classifying cubic $s$-regular graphs of orders $22p $ and $ 22p^{2}$

A. A. Talebi, N. Mehdipoor

Department of Mathematics, University of Mazandaran, Babolsar, Iran

Abstract: A graph is $s$-regular if its automorphism group acts regularly on the set of $s$-arcs. In this study, we classify the connected cubic $s$-regular graphs of orders $22p $ and $ 22p^{2}$ for each $ s \geq 1 $, and each prime $p$.

Keywords: $s$-regular graphs, $s$-arc-transitive graphs, symmetric graphs, regular covering.

MSC: 05C25, 20b25

Received: 07.03.2012
Revised: 14.08.2013

Language: English

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