报告题目:HAMILTON CYCLE DECOMPOSITION OF COMPLETE n-BALANCED r-PARTITE k-UNIFORM HYPERGRAPHS
报告简介:Let r≥k≥2 and Kr,n(k) denote the complete n-balanced r-partite k-uniform hypergraph, whose vertex set consists of r parts, each has n vertices, and whose edge set contains all the k-element subsets with no two vertices from one part. A Hamilton cycle decomposition of Kr,n(k) is a partition of E(Kr,n(k)) into Hamilton cycles. In this talk, I prove that if k≥3, m≥2, n≥1, Kmk(k) has a Hamilton cycle decomposition, then Kmk,n(k) has a Hamilton cycle decomposition.
报告人:蒋太江,贵州大学博士,主要从事代数与图论研究。
报告时间:2022年6月9日(星期四)上午 11:00-12:00
报告地点:腾讯会议,ID:116 934 251
主办单位:扬州大学数学科学学院、扬州大学科技处
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