On the multiplicity of distance signless Laplacian eigenvalues of graphs

被引：2
|
作者：
Xue, Jie [1 ]
Liu, Shuting [1 ]
Shu, Jinlong [1 ]
机构：
[1] East China Normal Univ, Dept Comp Sci & Technol, Shanghai, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2020年 / 68卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Multiplicity; cospectrality; distance signless Laplacian matrix; CONJECTURES; PROOF;
D O I：
10.1080/03081087.2019.1578726
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we characterize all connected graphs, which have a distance signless Laplacian eigenvalue with multiplicity at least n-2. As an application, we show that all these graphs, except K-2 boolean OR 3K(1) and K-1 boolean OR (K-3 + K-1), are determined by their distance signless Laplacian spectra. Moreover, we also determine all graphs with the third largest distance signless Laplacian eigenvalue equals n-2.
引用
收藏
页码：2276 / 2288
页数：13
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