Seminar第2149期 基于张量谱理论的超图的Turán问题

创建时间:  2021/08/25  谭福平   浏览次数:   返回

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

人:常安教授(福州大学)

报告时间:2021826日(周四)19:00

参会方式:腾讯会议

会议ID765 883 113

邀请人:康丽英


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.

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