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Some L-Function of a Regular Covering of a Graph

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Abstract.

Let π1:K→H, π2:H→G and π2π1:K→G be three finite regular coverings of graphs, and let σ be a representation of the covering transformation group of π1. We show that the (Bartholdi type) L-function of G associated to the representation of the covering transformation group of π2π1 induced from σ is equal to that of H associated to σ by means of ordinary voltage assignments.

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Authors and Affiliations

  1. Department of Electronics and Computer Science, Meisei University, 2-590 Nagabuchi, Oume, Tokyo, 198-8655, Japan

    Hirobumi Mizuno

  2. Oyama National College of Technology, Oyama, Tochigi, 323-0806, Japan

    Iwao Sato

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  1. Hirobumi Mizuno
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  2. Iwao Sato
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Acknowledgments. We would like to thank the referee for many valuable comments and suggestions. This is partially supported by Grant-in-Aid for Science Research (C).

Final version received: February 16, 2004

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Mizuno, H., Sato, I. Some L-Function of a Regular Covering of a Graph. Graphs and Combinatorics 20, 363–375 (2004). https://doi.org/10.1007/s00373-004-0570-3

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  • DOI: https://doi.org/10.1007/s00373-004-0570-3

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