5 papers
On Cartesian product of matrices
Deepak Sarma
Recently, Bapat and Kurata [\textit{Linear Algebra Appl.}, 562(2019), 135-153] defined the Cartesian product of two square matrices and as $A\oslash B=A\otimes \J+\J\otimes…
On the largest two and smallest six distance Pareto eigenvalues of a graph
Deepak Sarma
In this article, we establish some bounds involving the largest two distance Pareto eigenvalues of a connected graph. Also we characterize all possible values for smallest six dist…
On Pareto eigenvalue of distance matrix of graphs
Milan Nath, Deepak Sarma
In this article, we study Pareto eigenvalues of distance matrix of connected graphs and show that the non zero entries of every distance Pareto eigenvector of a tree forms a strict…
Minors of Hermitian (quasi-) Laplacian matrix of a mixed graph
Deepak Sarma
A mixed graph is obtained from an unoriented graph by orienting a subset of its edges. Yu, Liu, and Qu in 2017 have established the expression for the determinant of Hermitian (qua…
A study on resistance matrix of graphs
Deepak Sarma
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 fi…