On Distance Signless Laplacian Spectral Radius and Distance Signless Laplacian Energy

Abstract

In this article, we find sharp lower bounds for the spectral radius of the distance signless Laplacian matrix of a simple undirected connected graph and we apply these results to obtain sharp upper bounds for the distance signless Laplacian energy graph. The graphs for which those bounds are attained are characterized.

Keywords

• distance signless Laplacian matrix
• spectral radius
• distance signless Laplacian energy