L-functions for images of graph coverings by some operations

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:
Discrete Mathematics
Year:
2002

Citing 4
Cited 2

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Discrete Mathematics
Zeta functions of graph coverings

Journal of Combinatorial Theory Series B
L-functions for images of graph coverings by some operations

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L-functions for images of graph coverings by some operations

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Weighted complexities of graph products and bundles

European Journal of Combinatorics

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Abstract

We express the L-functions of the line graph and the middle graph of a regular covering of a regular graph G by using some characteristic polynomials. As a corollary, we express the zeta functions of the line graph and the middle graph of a regular covering of G by using the characteristic polynomial of that regular covering.