A study on resistance matrix of graphs
Combinatorics
2018-03-28 v1
Abstract
In this article we consider resistance matrix of a connected graph. For unweighted graph we study some necessary and sufficient conditions for resistance regular graphs. Also we find some relationship between Laplacian matrix and resistance matrix in case of weighted graphs where all edge weights are positive definite matrices of given order.
Cite
@article{arxiv.1803.09144,
title = {A study on resistance matrix of graphs},
author = {Deepak Sarma},
journal= {arXiv preprint arXiv:1803.09144},
year = {2018}
}
Comments
16 pages