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A new determinant expression for the weighted Bartholdi zeta function of a digraph - MaRDI portal

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A new determinant expression for the weighted Bartholdi zeta function of a digraph (Q1953410)

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scientific article; zbMATH DE number 6171866
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English
A new determinant expression for the weighted Bartholdi zeta function of a digraph
scientific article; zbMATH DE number 6171866

    Statements

    A new determinant expression for the weighted Bartholdi zeta function of a digraph (English)
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    7 June 2013
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    Summary: We consider the weighted Bartholdi zeta function of a digraph \(D\), and give a new determinant expression of it. Furthermore, we treat a weighted \(L\)-function of \(D\), and give a new determinant expression of it. As a corollary, we present determinant expressions for the Bartholdi edge zeta functions of a graph and a digraph.
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    weighted Bartholdi zeta function
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    digraph
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    covering
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    \(L\)-function
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