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Classifying cubic symmetric graphs of order 10p or 10p(2) SCIE SCOPUS

Title
Classifying cubic symmetric graphs of order 10p or 10p(2)
Authors
Feng, YQKwak, JH
Date Issued
2006-03
Publisher
SCIENCE PRESS
Abstract
A graph is called s-regular if its automorphism group acts regularly on the set of its s-arcs. In this paper, the s-regular cyclic or elementary abelian coverings of the Petersen graph for each s >= 1 are classified when the fibre-preserving automorphism groups act arc-transitively. As an application of these results, all s-regular cubic graphs of order 10p or 10p(2) are also classified for each s >= 1 and each prime p, of which the proof depends on the classification of finite simple groups.
Keywords
s-regular graph; regular covering; Petersen graph; TRANSITIVE GRAPHS; VOLTAGE ASSIGNMENTS; AUTOMORPHISMS; COVERINGS; PRIME; VALENCY
URI
https://oasis.postech.ac.kr/handle/2014.oak/24078
DOI
10.1007/S11425-006-0
ISSN
1006-9283
Article Type
Article
Citation
SCIENCE IN CHINA SERIES A-MATHEMATICS, vol. 49, no. 3, page. 300 - 319, 2006-03
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