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- W2077997306 abstract "Let G be a connected graph. We reformulate Stark and Terras' Galois Theory for a quotient H of a regular covering K of a graph G by using voltage assignments. As applications, we show that the weighted Bartholdi L-function of H associated to the representation of the covering transformation group of H is equal to that of G associated to its induced representation in the covering transformation group of K. Furthermore, we express the weighted Bartholdi zeta function of H as a product of weighted Bartholdi L-functions of G associated to irreducible representations of the covering transformation group of K. We generalize Stark and Terras' Galois Theory to digraphs, and apply to weighted Bartholdi L-functions of digraphs." @default.
- W2077997306 created "2016-06-24" @default.
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- W2077997306 date "2010-11-01" @default.
- W2077997306 modified "2023-09-28" @default.
- W2077997306 title "Weighted zeta functions for quotients of regular coverings of graphs" @default.
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- W2077997306 doi "https://doi.org/10.1016/j.aim.2010.03.025" @default.
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