循环图的无符号Laplacian能量的上界

doi:10.13438/j.cnki.jdzk.2018.04.002

吉首大学学报（自然科学版）

循环图的无符号Laplacian能量的上界

徐幼专

(邵阳广播电视大学,湖南邵阳 422000)

出版日期:2018-07-25 发布日期:2018-07-31
作者简介:徐幼专(1971—),女，湖南新邵人，邵阳广播电视大学副教授，硕士，主要从事图论及其应用研究.
基金资助:
湖南省教育厅科学研究项目（15C1235）

Upper Bounds of Signless Laplacian Energy for Circulant Graphs

XU Youzhuan

(Shaoyang Radio & TV University,Shaoyang 422000,Hunan China)

Online:2018-07-25 Published:2018-07-31

摘要/Abstract

摘要：

给出一个图G,称矩阵Q=D+A为无符号Laplacian矩阵,其中A表示G的邻接矩阵,D表示G的顶点度的对角矩阵.定义无符号Laplacian能量为矩阵Q的特征值与图的顶点度的算术平均值的差的绝对值之和.研究了循环图的无符号Laplacian能量的上界，得到了几个有意义的结果.

关键词： 循环图, 无符号Laplacian矩阵, 能量, 上界

Abstract:

Given a graph G,the matrix Q=D+A is called the signless Laplacian matrix,where A is the adjacency matrix and D is the diagonal matrix of vertex degrees.The signless Laplacian energy is the sum of the absolute values of the differences between the eigenvalues of matrix Q and the arithmetic mean of the vertex degrees of the graph.We discuss the upper bounds of signless Laplacians energy for circulant graphs,and get some significant results.

Key words: circulant graph, signless Laplacian matrix, energy, upper bound

徐幼专. 循环图的无符号Laplacian能量的上界[J]. 吉首大学学报（自然科学版）, DOI: 10.13438/j.cnki.jdzk.2018.04.002.

XU Youzhuan. Upper Bounds of Signless Laplacian Energy for Circulant Graphs[J]. Journal of Jishou University（Natural Sciences Edition), DOI: 10.13438/j.cnki.jdzk.2018.04.002.

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循环图的无符号Laplacian能量的上界

Upper Bounds of Signless Laplacian Energy for Circulant Graphs

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