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.
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.
作者
徐幼专
XU Youzhuan(Shaoyang Radio & TV Univcrsity,Shaoyang,122000,Hunan China)
出处
《吉首大学学报(自然科学版)》
CAS
2018年第4期5-8,共4页
Journal of Jishou University(Natural Sciences Edition)
基金
湖南省教育厅科学研究项目(15C1235)