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云顶集团定于2020年11月15日举办研究生灵犀学术殿堂——范益政教授报告会，现将有关事项通知如下：

1.报告会简介

报告人：范益政教授

时间：2020年11月15日（星期日）9：00

地点：腾讯会议（会议号：474 582 760）

报告题目：Minimal non-odd-transversal hypergraphs and minimal non-odd-bipartite hypergraphs

内容简介：Among all uniform hypergraphs with even uniformity, the odd-transversal or odd-bipartite hypergraphs are more close to bipartite simple graphs than bipartite hypergraphs from the viewpoint of both structure and spectrum. A hypergraph is called minimal non-odd-transversal if it is not odd-transversal but deleting any edge results in an odd-transversal hypergraph. In this paper we give an equivalent characterization of the minimal non-odd-transversal hypergraphs by means of the degrees and the rank of its incidence matrix over $\mathbb{Z}_2$. If a minimal non-odd-transversal hypergraph is uniform, then it has even uniformity, and hence is minimal non-odd-bipartite. We characterize $2$-regular uniform minimal non-odd-bipartite hypergraphs, and give some examples of $d$-regular uniform hypergraphs which are minimal non-odd-bipartite. Finally we give upper bounds for the least H-eigenvalue of the adjacency tensor of minimal non-odd-bipartite hypergraphs.

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党委学生工作部

数学与统计学院

2020年11月9日

报告人简介

范益政，安徽大学数学科学学院院长、教授、博士生导师，教育部新世纪优秀人才，安徽省学术和技术带头人，中国数学会理事，安徽省数学会常务理事。主要研究方向：代数组合与谱图理论，主持多项国家自然科学基金项目，在Trans. AMS, J. Algebraic Combin., J. Combin. Theory A, European J. Combin., SIAM J Matrix Anal Appl.等期刊发表论文100余篇。