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学术科研

Algebra & Combinatorics Seminar

The structure of large non-t rivial t-intersecting families for finite sets and vector spaces

演讲者：吕本建（北京师范大学）
时间：2020-11-05 16:00-17:00
地点：腾讯会议 ID 379 344 430

讲座摘要

Let ℱ be a family of k -subsets of an n-set. The family ℱ is said to be t -intersecting if the size of the intersection of any two subsets in ℱ is not less than t. A t-intersecting family ℱ is said to be trivial if ℱ consists of subsets which contain a fixed t-subset of the n-set. The Erdős-Ko-Rado theorem describes the size and structure of a maximum t-intersecting family, and the Hilton-Milner theorem describes the size and structure of a maximum non-trivial 1-intersecting family. In this talk, we show some results about the structure of maximal non-trivial t-intersecting families with large size for finite sets and vector spaces.

个人简介

吕本建, 男, 2014 年7 月在北京师范大学取得理学博士学位, 同年8 月开始在北京师范大学数学科学学院任教。研究兴趣为代数图论和极值组合学。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。在 J. Combin. Theory Ser A，J. Algebr.Combin.，Appl. Math. Comp.，Discrete Appl. Math.等期刊发表论文20 篇。