Tensor spectral theory of hypergraphs with its applications
科研大讨论系列报告
报告题目(Title):Tensor spectral theory of hypergraphs with its applications
报告人(Speaker):常安教授 (福州大学)
地点(Place):腾讯会议 ID:269 335 269
时间(Time):2023 年 9 月 22 日(周五) 14:30--15:30
邀请人(Inviter):徐敏
报告摘要
The spectral theory of graphs and hypergraphs is a very active and important research topic in graph theory. In this talk, we first give a brief introduction on the tensor spectral theory which has developed rapidly and been widely applied in the past decade, and the extremal spectral problems of graphs and hypergraphs. Then we establish the connection between the spectral radius of the adjacency tensor of a hypergraph and its structural properties. Therefrom we obtain several spectral versions of Turan-type results on linear k-uniform hypergraphs.
主讲人简介
常安,福州大学教授,博士生导师。1998年毕业于四川大学数学系,获应用数学专业博士学位。主要从事图与超图的谱理论及其应用研究,已在国内外专业期刊发表研究论文70余篇,作为主要研究成员参加了2项国家“973”课题和2项国家自然科学基金重点项目的研究工作,并主持了多项国家自然科学基金面上项目和省级科研项目。曾获2004年获福建省科学技术二等奖,2008年获批国务院政府特殊津贴专家。