Abstract
We define a weighted zeta function of a digraph and a weighted L-function of a symmetric digraph, and give determinant expressions of them. Furthermore, we give a decomposition formula for the weighted zeta function of a g-cyclic Γ-cover of a symmetric digraph for any finite group Γ and g∈ Γ. A decomposition formula for the weighted zeta function of an oriented line graph L → ( G ̃ ) of a regular covering G ̃ of a graph G is given. Furthermore, we define a weighted L-function of an oriented line graph L → (G) of G, and present a factorization formula for the weighted zeta function of L → ( G ̃ ) by weighted L-functions of L → (G) . As a corollay, we obtain a factorization formula for the multiedge zeta function of G ̃ given by Stark and Terras.
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