Weighted zeta functions of graph coverings (Q870008)

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scientific article; zbMATH DE number 5132804
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Weighted zeta functions of graph coverings
scientific article; zbMATH DE number 5132804

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    Weighted zeta functions of graph coverings (English)
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    12 March 2007
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    Summary: We present a decomposition formula for the weighted zeta function of an irregular covering of a graph by its weighted \(L\)-functions. Moreover, we give a factorization of the weighted zeta function of an (irregular or regular) covering of a graph by equivalence classes of prime, reduced cycles of the base graph. As an application, we discuss the structure of balanced coverings of signed graphs.
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    signed graphs
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