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arXiv · 1803.09144

A study on resistance matrix of graphs

Deepak Sarma
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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.

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Deepak Sarma. 2018-03-24. A study on resistance matrix of graphs. https://arxiv.org/abs/1803.09144

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