题目：The spectrum of hypergraph and the high order spectral characterizations of graphs
主讲人：哈尔滨工程大学卜长江教授
时间：2022年1月15日(周六)9:00~10:00
腾讯会议：618 877 970（会议密码：654321）
摘要：
In this talk, we introduce some new results about the spectrum of hypergraph. We give the necessary and sufficient conditions for hypergraph connectivity via the geometry connectivity and the analytic connectivity of hypergraphs. We give the characteristic polynomial of hyperpaths and the spectral moment formula of hypertrees. And the high order spectrum of graphs is proposed for studying the graph isomorphism. We prove that all connected graphs with spectral radius at most 2 are determined by the high order spectrum.
个人简介：卜长江，哈尔滨工程大学数学系教授，博士生导师。多年来一直从事组合数学与图论的研究，主要研究方向包括图与超图谱理论、组合张量、广义逆理论、复杂网络等。发表论文200余篇，在科学出版社出版专著3部，主持国家自然科学基金项目3项。现任中国运筹学会图论组合分会副理事长，中国数学会组合数学与图论学会理事，黑龙江省数学会常务理事。
欢迎光大师生参加，联系人：孙少伟。
