Some weighted Bartholdi zeta function of a digraph
Some weighted Bartholdi zeta function of a digraph
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DOI:
10.1016/j.laa.2013.11.043
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发表时间:
2014-03
影响因子:
1.1
通讯作者:
H. Mizuno;I. Sato
中科院分区:
文献类型:
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作者:
H. Mizuno;I. Sato
Related to the weighted bond scattering matrix of a graph, we define some weighted Bartholdi zeta function of a digraphD, and give a determinant expression for it. We present a decomposition formula for the weighted zeta function of a group covering ofD. Furthermore, we define anL-function ofD, and give a determinant expression for it. As a corollary, we express the weighted Bartholdi zeta function of a group covering ofDby means of itsL-functions.