安徽大学学报（自然科学版）2024，Vol.48Issue(6)：1-8,8.DOI:10.3969/j.issn.1000-2162.2024.06.001
一类非线性超图的Estrada指数
The Estrada index of a class of nonlinear hypergraphs
摘要
Abstract
This paper studied the Estrada index of a class of nonlinear hypergraphs called sunflower type hypergraphs.First the paper gave an explicit formula for the traces of the sunflower hypergraph SHmn,q when q=2,and characterized the perturbation of the traces of a hypergraph when its structure was locally changed.By the perturbation result,the paper determined the unique hypergraph with maximum Estrada index among all sunflower type hypergraphs with given number of edges.关键词
一致超图/张量/迹/Estrada指数/太阳花型超图Key words
uniform hypergraph/tensor/trace/Estrada index/sunflower type hypergraph分类
数理科学引用本文复制引用
范益政,郑剑..一类非线性超图的Estrada指数[J].安徽大学学报（自然科学版）,2024,48(6):1-8,8.基金项目
国家自然科学基金资助项目(11871073,12331012) （11871073,12331012）
