On the distance signless Laplacian spectral radius and the distance signless Laplacian energy of graphs

被引：19

作者：

Alhevaz, Abdollah ^{[1
]}

Baghipur, Maryam ^{[1
]}

Paul, Somnath ^{[2
]}

机构：

[1] Shahrood Univ Technol, Fac Math Sci, POB 316-3619995161, Shahrood, Iran

[2] Pandit Deendayal Upadhyaya Adarsha Mahavidyalaya, Dept Math, Behali 784184, Gingia, India

来源：

DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS | 2018年 / 10卷 / 03期

关键词：

Distance signless Laplacian matrix; spectral radius; transmission regular; energy;

D O I：

10.1142/S1793830918500350

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 D-Q(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 bounds on the distance signless Laplacian spectral radius of G based on some graph invariants, and characterize the extremal graphs. In addition, we define distance signless Laplacian energy, similar to that in [J. Yang, L. You and I. Gutman, Bounds on the distance Laplacian energy of graphs, Kragujevac J. Math. 37 (2013) 245-255] and give some bounds on the distance signless Laplacian energy of graphs.

引用

页数：19

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