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, YQ; Kwak, 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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