Abstract | ||
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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. |
Year | DOI | Venue |
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2003 | 10.1016/S0095-8956(03)00043-1 | J. Comb. Theory, Ser. B |
Keywords | Field | DocType |
decomposition formula,graph covering,l -function,zeta function,determinant expression,bartholdi zeta function,graph g.,l function | Graph,Discrete mathematics,Combinatorics,Riemann zeta function,L-function,Prime zeta function,Arithmetic zeta function,Corollary,Mathematics | Journal |
Volume | Issue | ISSN |
89 | 1 | Journal of Combinatorial Theory, Series B |
Citations | PageRank | References |
14 | 2.52 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Hirobumi Mizuno | 1 | 80 | 18.63 |
Iwao Sato | 2 | 75 | 22.91 |