Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598936 | Linear Algebra and its Applications | 2015 | 21 Pages |
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
Authors
Kinkar Ch. Das, Celso M. da Silva Junior, Maria Aguieiras A. de Freitas, Renata R. Del-Vecchio,