Zeta functions of graph bundles
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- Title
- Zeta functions of graph bundles
- Authors
- Feng, R; Kwak, JH
- Date Issued
- 2006-11
- Publisher
- KOREAN MATHEMATICAL SOCIETY
- Abstract
- As a continuation of computing the zeta function of a regular covering graph by Mizuno and Sato in [9], we derive in this paper computational formulae for the zeta functions of a graph bundle and of any (regular or irregular) covering of a graph. If the voltages to derive them lie in an abelian or dihedral group and its fibre is a regular graph, those formulae can be simplified. As a by-product, the zeta function of the Cartesian product of a graph and a regular graph is obtained. The same work is also done for a discrete torus and for a discrete Klein bottle.
- Keywords
- zeta function; graph bundle; voltage assignment; discrete torus or Klein bottle; COVERINGS
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/23736
- DOI
- 10.4134/JKMS.2006.43.6.1269
- ISSN
- 0304-9914
- Article Type
- Article
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol. 43, no. 6, page. 1269 - 1287, 2006-11
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