The Extremal Structures of r-Uniform Unicyclic Hypergraphs on the Signless Laplacian Estrada Index

被引：1
|
作者：
Lu, Hongyan [1 ]
Zhu, Zhongxun [2 ]
机构：
[1] Xi Jing Univ, Sch Sci, Xian 710123, Peoples R China
[2] South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R China
来源：
MATHEMATICS | 2022年 / 10卷 / 06期
关键词：
signless Laplacian Estrada index; signless Laplacian matrix; r-uniform unicyclic hypergraph; semi-edge walk; FOLDING DEGREE;
D O I：
10.3390/math10060941
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
SLEE has various applications in a large variety of problems. The signless Laplacian Estrada index of a hypergraph H is defined as SLEE(H)=Sigma(ne lambda i(Q))(i=1), where lambda(1)(Q),lambda(2)(Q), . . . ,lambda(n)(Q) are the eigenvalues of the signless Laplacian matrix of H. In this paper, we characterize the unique r-uniform unicyclic hypergraphs with maximum and minimum SLEE.
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页数：11
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