Journal
JOURNAL OF COMBINATORIAL THEORY SERIES B
Volume 89, Issue 1, Pages 27-41Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0095-8956(03)00043-1
Keywords
zeta function; graph covering; L-function
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We give a decomposition formula for the Bartholdi zeta function of a regular covering of a graph G. Furthermore, we define an L-function of G, and give a determinant expression of it. As a corollary, we obtain a decomposition formula for the Bartholdi zeta function of a regular covering of G by L-functions of G. Also, we present another proof of the determinant expression of the L-function of G. (C) 2003 Elsevier Science (USA). All rights reserved.
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