全校師生:
我校定于2020年11月15日舉辦研究生靈犀學術殿堂——范益政教授報告會,現將有關事項通知如下:
1.報告會簡介
報告人:范益政教授
時間:2020年11月15日(星期日)9:00
地點:騰訊會議(會議號:474 582 760)
報告題目:Minimal non-odd-transversal hypergraphs and minimal non-odd-bipartite hypergraphs
內容簡介: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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黨委學生工作部
數學與統計學院
2020年11月9日
報告人簡介
范益政,安徽大學數學科學學院院長、教授、博士生導師,教育部新世紀優秀人才,安徽省學術和技術帶頭人,中國數學會理事,安徽省數學會常務理事。主要研究方向:代數組合與譜圖理論,主持多項國家自然科學基金項目,在Trans. AMS, J. Algebraic Combin., J. Combin. Theory A, European J. Combin., SIAM J Matrix Anal Appl.等期刊發表論文100余篇。