Article ID Journal Published Year Pages File Type
4598936 Linear Algebra and its Applications 2015 21 Pages PDF
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)DQ(G)=Tr(G)+D(G), where D(G)D(G) is the distance matrix of G   and Tr(G)Tr(G) is the diagonal matrix of vertex transmissions of G  . In this paper we determine upper and lower bounds on the minimal and maximal entries of the principal eigenvector of DQ(G)DQ(G) and characterize the extremal graphs. In addition, we obtain a lower bound on the distance signless Laplacian spectral radius of G based on its order and independence number, and characterize the extremal graph.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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