应张和平教授和李秋丽副教授邀请，闽南师范大学304am永利集团官网卢福良教授访问我校并做学术报告如下。

报告题目：Removable edges in claw-free bricks

时间：12月21日下午15:00

地点：城关校区理工楼401报告厅

报告摘要：An edge e in a matching covered graph G is removable if G-e is matching covered. Removable edges was introduced by Lovasz and Plummer in connection with ear decompositions of matching covered graphs. A brick is a non-bipartite matching covered graph without non-trivial tight cuts. The importance of bricks stems from the fact that they are building blocks of matching covered graphs. Lovasz proved that every brick other than K₄ and C₆ has a removable edge. It is known that every 3-connected claw-free graph with even number of vertices is a brick. In this talk, we will discuss the structure of adjacent non-removable edges. Moreover, we show that every claw-free brick G with more than 6 vertices has at least 5|V(G)|/8 removable edges.

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报告人简介

福建省闽江学者特聘教授。曾入选福建省百千万人才工程。主要研究兴趣是图的匹配理论及相关问题，目前正在主持国家自然科学基金委面上项目一项，省杰青项目。在J. Combin. Theory Ser. B,SIAM J. Discrete Math., Journal of Graph Theory，Electron. J. Comb.，Discrete Math.等杂志发表论文 30 余篇。

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2023年12月20日