讲座题目：The Berge-Fulkerson conjecture for rotation snarks

主讲人：郝荣霞

讲座时间：2021.10.22（周五）下午14：30-15：20

讲座地点：4556银河国际在线311会议室

主讲人简介：

    郝荣霞，北京交通大学教授，博士生导师，从事图论与网络的研究。2008年获北京运筹学会青年优秀论文一等奖。 主持和参加国家自然科学基金面上项目多项，参加国家自然科学基金重点项目一项。发表论文90余篇，获评学校“智瑾奖教金优秀青年教师”、“巾帼十杰”、“毕业生我最敬爱的老师”、“教学名师”等称号。中国运筹学会图论组合分会第五届理事；国际期刊《International Journal of Computer Mathematics：Computer Systems Theory》的杂志编委。

主讲内容：

It is conjectured by Berge and Fulkerson that every bridgeless cubic graph has six perfect matchings such that each edge is contained in exactly two of them. A snark is a cyclically 4-edge connected cubic graph of girth at least 5 admitting no 3-edge coloring. An infifinite family R, of cyclically 5-edge-connected rotation snarks, was discovered in [European J. Combin. 2021] by Macajova and Skoviera. In this talk, Berge-Fulkerson conjecture is verified for the family R. This is a joint work with Siyan Liu, Cun-Quan Zhang.