Title | ||
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The Partial differential coefficients for the second weghted Bartholdi zeta function of a graph. |
Abstract | ||
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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 |
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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 Matsutani | 1 | 2 | 2.38 |
Misuhashi Hideo | 2 | 0 | 0.34 |
Morita Hideaki | 3 | 0 | 0.34 |
Iwao Sato | 4 | 75 | 22.91 |