报告名称:List colouring of planar graphs
报告专家:朱绪鼎
专家所在单位:浙江师范大学
报告时间:2023年6月19日15:00 -18:00
报告地点: 英国立博官网中文版201
专家简介:朱绪鼎,男,现为浙江师范大学特聘教授、博士生导师,浙江师范大学离散数学研究中心主任。2010年国家级人才计划入选者。研究专长是图论、算法和组合优化。主持国家自然科学面上项目4项,浙江省自然科学重点项目1项。发表论文250余篇,论文被引用2500余次(MathSciNet)。二十多次应邀在重要的国际学术会议上作大会报告。现任J. Graph Theory, European J. Combin., Discrete Math., Contrib. Discrete Math., Discuss. Math. Graph Theory, Bulletin of Academia Sinica, Bulletin of Academia, Taiwanese J. Math 等国际学术期刊编委。
报告摘要:Thomassen proved that every planar graph is 5-choosable and Voigt showed that there are planar graphs that are not 4-choosable. A question that I have been interested in is “how far can a planar graph from being 4-choosable?” is every planar “almost 4-choosable?” or some planar graphs are “far from being 4-choosable?” I will discuss what could it mean by “almost 4-choosable”, and survey results and open problems motivated by this question.