Bartholdi zeta functions of graph bundles having regular fibers
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SCOPUS
- Title
- Bartholdi zeta functions of graph bundles having regular fibers
- Authors
- Kwak, JH; Lee, J; Sohn, MY
- Date Issued
- 2005-07
- Publisher
- ACADEMIC PRESS LTD ELSEVIER SCIENCE L
- Abstract
- As a continuation of computing the Bartholdi zeta function of a regular covering of a graph by Mizuno and Sato in J. Combin. Theory Ser. B 89 (2003) 27, we derive in this paper some computational formulae for the Bartholdi zeta functions of a graph bundle and of any (regular or irregular) covering of a graph. If the fiber is a Schreier graph or it is regular and the voltages to derive the bundle or the covering lie in an Abelian group, then the formulae can be simplified. As a byproduct. the Bartholdi zeta functions of Schreier graphs, Cayley graphs and the cartesian product of a graph and a regular graph are obtained. (c) 2004 Elsevier Ltd. All rights reserved.
- Keywords
- (Bartholdi) zeta function; graph bundle; (permutation) voltage assignment; COVERINGS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/24689
- DOI
- 10.1016/j.ejc.2004.05.002
- ISSN
- 0195-6698
- Article Type
- Article
- Citation
- EUROPEAN JOURNAL OF COMBINATORICS, vol. 26, no. 5, page. 593 - 605, 2005-07
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