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Zeta functions of oriented line graphs of graph coverings

Authors
Journal
Discrete Mathematics
0012-365X
Publisher
Elsevier
Publication Date
Volume
303
Identifiers
DOI: 10.1016/j.disc.2004.12.020
Keywords
  • Zeta Function
  • Graph Covering
  • Line Digraph
  • [Formula Omitted]-Function

Abstract

Abstract In this paper, we obtain a decomposition formula for the zeta function of an oriented line graph of a regular covering of a graph G. Furthermore, we introduce an L-function of an oriented line graph L ⇒ ( G ) of G, and give a decomposition formula for the zeta function of an oriented line graph of a regular covering of G by L-functions of L ⇒ ( G ) . As a by-product, we obtain an L-function version of Bass's result.

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