TREES WITH MAXIMUM SUM OF THE TWO LARGEST LAPLACIAN EIGENVALUES

被引：0

作者：

Zheng, Yirong ^{[1
]}

Li, Jianxi ^{[2
]}

Chang, Sarula ^{[3
]}

机构：

[1] Xiamen Univ Technol, Sch Math & Stat, Xiamen, Fujian, Peoples R China

[2] Minnan Normal Univ, Sch Math & Stat, Zhangzhou, Fujian, Peoples R China

[3] Inner Mongolia Agr Univ, Coll Sci, Hohhot, Inner Mongolia, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2022年 / 38卷

基金：

美国国家科学基金会;

关键词：

Tree; Laplacian Eigenvalue; Sum; BROUWERS CONJECTURE; SIGNLESS LAPLACIAN; GRAPH;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let T be a tree of order n and S-2(T) be the sum of the two largest Laplacian eigenvalues of T. Fritscher et al. proved that for any tree T of order n, S-2(T) <= n + 2 - 2/n. Guan et al. determined the tree with maximum S-2(T) among all trees of order n. In this paper, we characterize the trees with S-2(T) >= n + 1 among all trees of order n except some trees. Moreover, among all trees of order n, we also determine the first [ n-2/2 j trees according to their S-2(T). This extends the result of Guan et al.

引用

页码：357 / 366

页数：10

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