The Partial differential coefficients for the second weghted Bartholdi zeta function of a graph
Combinatorics
2019-05-31 v1
Abstract
We consider the second weighted Bartholdi zeta function of a graph , and present weighted versions for the result of Li and Hou's on the partial derivatives of the determinant part in the determinant expression of the Bartholdi zeta function of . Furthermore, we give a formula for the weighted Kirchhoff index of a regular covering of in terms of that of .
Keywords
Cite
@article{arxiv.1905.13182,
title = {The Partial differential coefficients for the second weghted Bartholdi zeta function of a graph},
author = {Matsutani Shigeki and Misuhashi Hideo and Morita Hideaki and Sato Iwao},
journal= {arXiv preprint arXiv:1905.13182},
year = {2019}
}
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22 pagea