A Formula for the Kirchhoff Index

Abstract

We show here that the Kirchhoff index of a network is the average of the Wiener capacities of its vertices. Moreover, we obtain a closed-form formula for the effective resistance between any pair of vertices when the considered network has some symmetries which allows us to give the corresponding formulas for the Kirchhoff index. In addition, we find the… (More)

Topics

Cite this paper

@inproceedings{Bendito2007AFF, title={A Formula for the Kirchhoff Index}, author={Enrique Bendito and Angeles Carmona and A. M. Encinas}, year={2007} }