Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897877 | Linear Algebra and its Applications | 2018 | 18 Pages |
Abstract
We consider the weighted Kirchhoff index of a graph G, and present a generalization of Somodi's Theorem on one of the Kirchhoff index of a graph. Furthermore, we give an explicit formula for the weighted Kirchhoff index of a regular covering of G in terms of that of G.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hideo Mitsuhashi, Hideaki Morita, Iwao Sato,