"Resistance matrices of balanced directed graphs" by R. Balaji, R. B. Bapat et al.
 

Resistance matrices of balanced directed graphs

Article Type

Research Article

Publication Title

Linear and Multilinear Algebra

Abstract

Let G be a strongly connected and balanced directed graph. We define the resistance rij between any two vertices i and j of G by using the Moore–Penrose inverse of the Laplacian matrix of G and define the resistance matrix by R := [rij]. This generalizes the resistance in the undirected case. In this paper, we show that R is a non-negative matrix and obtain an expression to compute the inverse, determinant and cofactor sums of R.

DOI

10.1080/03081087.2020.1748850

Publication Date

1-1-2020

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