报 告 人：郝荣霞 教授
报告题目：The Berge-Fulkerson coloring forsome permutation snarks
报告时间：2022年1月6日（周四）上午8:30-11:30
报告地点：腾讯会议（ID：610179523）
主办单位：数学与统计学院、科学技术研究院
报告人简介：
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。在 “Information Sciences”， “IEEE Transactions on Computer”，“IEEE Transactions on Parallel andDistributed Systems”，“Journal of GraphTheory”等SCI期刊论文60余篇。担任中国运筹学会图论组合分会第五届理事；国际期刊“International Journal of ComputerMathematics：Computer Systems Theory”的杂志编委；美国数学会 “Mathematical Reviews”评论员。
报告摘要：
It is conjectured by Berge and Fulkerson that everybridgeless cubic graph has six perfect matchings such that each edge iscontained in exactly two of them. The Berge-Fulkerson conjecture holds for3-edge-colorable cubic graphs. A snark is a cyclically 4-edge connected cubicgraph of girth at least 5 admitting no 3-edge coloring. In this talk, theBerge-Fulkerson conjecture is verified for some permutation snarks including aninfinite family of cyclically 5-edge connected snarks constructed by J. Hägglund and A. Hoffmann-Ostenhof.This is a joint work with Siyan Liu, Cun-Quan Zhang and Zhang Zhang.
邀 请 人：苗正科