A New Determinant Expression for the Weighted Bartholdi Zeta Function of a Digraph
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.
2006 ◽
Vol 80
(1)
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pp. 89-103
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2018 ◽
Vol 19
(3)
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pp. 947-964
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2020 ◽
Vol 117
(12)
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pp. 6398-6408
2019 ◽
Vol 295
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pp. 427-462
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1989 ◽
Vol 01
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pp. 113-128
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2001 ◽
Vol 71
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pp. 113-121
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