On Max-Cuts and ratio cuts of graphs

发布者:王丹丹发布时间:2020-10-09浏览次数:359

学术报告

报告题目:On Max-Cuts and ratio cuts of graphs

报告人:侯建锋 教授

报告时间:2020/10/12(周14:30-15:30

报告形式:腾讯会议(线上)       数学学院A310(线下)

会议ID109 649 554

会议密码:123123

报告摘要:

Graph partitioning problems usually ask for a partition of the vertex set of a graph into pairwise disjoint subsets with various requirements. For instance, given a graph G, the well-known (unweighted) Min-Cut problem (or Max-Cut problem) asks for a bipartition (V1, V2) of G that minimizes (or maximizes) the number of crossing edges. In practice, we may need to fifind a partition bounding not only the number of crossing edges, but also the number of vertices in each part. This leads to the ratio cut of graphs.

 In this talk, I will give some results on Max-Cut and ratio cut of graphs.

报告人简介:

侯建锋,现为福州大学教授,旗山学者,其博士论文获2011年度山东省优秀博士学位论文,全国优秀博士学位论文提名奖。主要从事图与超图的划分和图染色方面的研究,解决了Bollobas(英国皇家学会会员、欧洲科学院院士)Scott(剑桥大学教授)提出的关于图公平划分的多个猜想和公开问题,在 J. Combin. Theory Ser. A (B)Random Struct. Algor.Combin. Probab. Comput.SIAM J. Discrete Math.等专业权威期刊发表SCI检索学术论文50余篇。主持国家自然科学基金项目3项,参与国家自然科学基金重点项目1项,入选福建省高等学校新世纪优秀人才支持计划。中国工业与应用数学学会图论组合及应用专业委员会委员,福建省数学会常务理事。