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吴文俊数学重点实验室组合图论系列讲座之128【袁晓璠】

报告题目: Nearly perfect matchings in hypergraphs

报告人:袁晓璠(School of Mathematics,Georgia Institute of Technology)

时间:12月24日(周一)下午 16:00-17:00

地点:1318

摘要: 

The problem for finding a maximum matching in a hypergraph is NP-hard, even for 3-partite 3-graphs. There has been extensive study on sufficient condisions for the existence of a large matching in a uniform hypergraph. In this talk, I will discuss minimum l-degree conditions for the existence of nearly perfect matchings. In certain situations, these conditions in fact are sufficient for the existence of a near perfect matching. Our results generalize and/or improve some previous results. This is joint work with Hongliang Lu and Xingxing Yu.

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