EXTREMAL PROPERTIES OF THE DISTANCE SPECTRAL RADIUS OF HYPERGRAPHS

被引：0

作者：

Wang, Yanna ^{[1
]}

Zhou, Bo ^{[2
]}

机构：

[1] Guang Dong Commun Polytech, Basic Courses Dept, Guangzhou 510650, Peoples R China

[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2020年 / 36卷

基金：

中国国家自然科学基金;

关键词：

Distance spectral radius; Distance matrix; Hypergraph; Diameter; Matching number; ADDRESSING PROBLEM; GRAPHS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The distance spectral radius of a connected hypergraph is the largest eigenvalue of its distance matrix. The unique hypertrees with minimum distance spectral radii are determined in the class of hypertrees of given diameter, in the class of hypertrees of given matching number, and in the class of non-hyperstar-like hypertrees, respectively. The unique hypergraphs with minimum and second minimum distance spectral radii are determined in the class of unicylic hypergraphs. The unique hypertree with maximum distance spectral radius is determined in the class of k-th power hypertrees of given matching number.

引用

页码：411 / 429

页数：19

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