Article ID Journal Published Year Pages File Type
4629774 Applied Mathematics and Computation 2013 8 Pages PDF
Abstract

Let G=(V,E)G=(V,E) be a simple connected graph. Denote by D(G)D(G) the diagonal matrix of its vertex degrees and by A(G)A(G) its adjacency matrix. Then the signless Laplacian matrix of G   is Q(G)=D(G)+A(G)Q(G)=D(G)+A(G). In this paper, we obtain some new and improved sharp upper bounds on the spectral radius q1(G)q1(G) of the signless Laplacian matrix of a graph G.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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