Title
The Partial differential coefficients for the second weghted Bartholdi zeta function of a graph.
Abstract
We consider the second weighted Bartholdi zeta function of a graph G, and present weighted versions for the results of Li and Hou’s on the partial derivatives of the determinant part in the determinant expression of the Bartholdi zeta function of G. Furthermore, we give a formula for the weighted Kirchhoff index of a regular covering of G in terms of that of G.
Year
DOI
Venue
2019
10.1016/j.disc.2019.06.003
Discrete Mathematics
Keywords
DocType
Volume
Complexity,Kirchhoff index,Laplacian matrix,Bartholdi zeta function,Regular covering
Journal
342
Issue
ISSN
Citations 
9
0012-365X
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Shigeki Matsutani122.38
Misuhashi Hideo200.34
Morita Hideaki300.34
Iwao Sato47522.91