恰有两个Q-主特征值的三圈图 |
| |
引用本文: | 陈琳,;黄琼湘.恰有两个Q-主特征值的三圈图[J].运筹学杂志,2014(3):13-32. |
| |
作者姓名: | 陈琳 ;黄琼湘 |
| |
作者单位: | [1]新疆医科大学医学工程技术学院,乌鲁木齐830011; [2]新疆大学数学与系统科学学院,乌鲁木齐830046 |
| |
基金项目: | 国家自然科学基金(Nos.11261059,11301452),新疆医科大学科研创新基金(No.XJC.201237) |
| |
摘 要: | 图G的无符号拉普拉斯矩阵定义为图G的邻接矩阵与度对角矩阵的和,其特征值称为图G的Q-特征值.图G的一个Q-特征值称为Q-主特征值,如果它有一个特征向量其分量的和不等于零.确定了所有恰有两个Q-主特征值的三圈图.
|
关 键 词: | 无符号拉普拉斯矩阵 Q-主特征值 三圈图 |
Tricyclic graphs with exactly two Q-main eigenvalues |
| |
Institution: | CHEN LinI HUANG Qiongxiang |
| |
Abstract: | The signless Laplacian matrix of a graph G is defined to be the sum of its adjacency matrix and degree diagonal matrix, and its eigenvalues are called Q-eigenvalues of G. A Q-eigenvalue of a graph G is called a Q-main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. In this work, all tricyclic graphs with exactly two Q-main ei~envalues are determined. |
| |
Keywords: | signless Laplacian matrix Q-main eigenvalue tricyclic graph |
本文献已被 维普 等数据库收录! |