L-functions of regular coverings of graphs

  • Authors:

  • Hirobumi Mizuno;Iwao Sato

  • Affiliations:

  • Department of Electronics and Computer Science, Meisei University, 2-590, Nagabuti, Ome, Tokyo 198-8655, Japan;Oyama National College of Technology, Oyama, Tochigi 323-0806, Japan

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2003

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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 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.