Title of article :
NEW BOUNDS and EXTREMAL GRAPHS FOR DISTANCE SIGNLESS LAPLACIAN SPECTRAL RADIUS
Author/Authors :
Alhevaz, A. Faculty of Mathematical Sciences - Shah rood University of Technology , Shah rood, Iran , Baghipur, M. Department of Mathematics - University of Hormozgan, Bandar Abbas, Iran , Paul, S. Department of Applied Sciences - Tezpur University, India
Abstract :
The distance signless Laplacian spectral radius of a connected graph G is the largest eigenvalue of the distance signless Laplacian matrix of G, defined as DQ(G)=Tr(G)+D(G), where D(G) is the distance matrix of G and Tr(G) is the diagonal matrix of vertex transmissions of G. In this paper, we determine some new upper and lower bounds on the distance signless Laplacian spectral radius of G and characterize the extremal graphs attaining these bounds.
Keywords :
Distance signless Laplacian matrix , spectral radius , extremal graph transmission , regular graph
Journal title :
Journal of Algebraic Systems
