Lifting graph automorphisms along solvable regular covers
SCIE
SCOPUS
- Title
- Lifting graph automorphisms along solvable regular covers
- Authors
- Chen, HM; Kwak, JH
- Date Issued
- 2016-01
- Publisher
- ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
- Abstract
- A solvable cover of a graph is a regular cover whose covering transformation group is solvable. In this paper, we show that a solvable cover of a graph can be decomposed into layers of abelian covers, and also, a lift of a given automorphism of the base graph of a solvable cover can be decomposed into layers of lifts of the automorphism in the layers of the abelian covers. This procedure is applied to classify metacyclic covers of the tetrahedron branched at face-centers. (C) 2015 Elsevier Ltd. All rights reserved.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/36423
- DOI
- 10.1016/J.EJC.2015.08.003
- ISSN
- 0195-6698
- Article Type
- Article
- Citation
- EUROPEAN JOURNAL OF COMBINATORICS, vol. 51, page. 519 - 532, 2016-01
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