报告主题:基于张量谱理论的超图的Turán问题(Hypergraph Turán problems via tensor spectral theory)
报 告 人:常安 教授(福州大学)
报告时间:2021年8月26日(周四) 19:00
参会方式:腾讯会议
会议ID:765 883 113
邀请人:康丽英
主办部门:理学院数学系
报告摘要:Turán problems of graphs or Hypergraphs are the core issue in the extremal graph theory. In this talk, we first give a brief introduction on the tensor eigenvalues and the problem on the spectral version of Turán-type problems over uniform hypergraphs. Then we develop two new tools to establish the connection between spectral radius of the adjacency tensor and structural properties of a hypergraph. By these two methods, several spectral versions of Turán-type results on linear k-uniform hypergraphs are obtained.