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Large non-trivial t -intersecting families for finite sets

主 讲 人 :吕本建    副教授

活动时间:04月10日16时00分    

地      点 :理科群D203

讲座内容:

Let F be a family of k-subsets of an n-set. The family F is said tobe t-intersecting if thesize of the intersection of any two subsets in F is not less than t. A t-intersecting family F  is said to be trivialif F consists of subsets which contain a fixed t-subset of the n-set. The Erd?s-Ko-Rado theoremdescribes the size and structure of a maximum t-intersecting family, and the Hilton-Milner theorem describesthe size and structure of a maximum non-trivial 1-intersecting family. In thistalk, we show some results about thestructure of maximal non-trivial t-intersecting families with large size forfinite sets.


主讲人先容:

吕本建, 北京师范大学副教授, 硕士生导师, 2014年在北京师范大学取得理学博士学位。研究兴趣为代数图论和极值组合学, 在J.Combin. Theory Ser A,J. Algebr. Combin., Appl. Math.Comp.,Discrete Appl. Math. 等期刊发表论文20余篇。曾主持一项国家自然科学基金青年基金项目, 参与两项国家自然科学基金面上项目。

发布时间:2021-04-09 10:13:23

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