报告题目:Minors of non-hamiltonian graphs
报告人:卢安晞 研究员
报告时间:2025年10月28日16:00-17:00
报告地点:科技园阳光楼南815
邀请人:曾庆厚
邀请单位:福州大学数学与统计学院,离散数学及其应用省部共建教育部重点实验室
报告内容简介:
Tutte proved that every 4-connected planar graph is hamiltonian, or equivalently, every 4-connected graph with no $K_{3,3}$ minor. Ding and Marshall asked whether this extends to graphs with no $K_{3,4}$ minor, and also posed the problem of characterizing minor-minimal 3-connected non-hamiltonian graphs. We recently resolved these problems using classical tools. In this talk, we review the background and outline the proof.
报告人简介:
卢安晞,同济大学数学科学学院特聘研究员,毕业于德国伊尔梅瑙工业大学。主要研究方向为结构图论,在 J. Combin. Theory Ser. B、European J. Combin. 等期刊发表了十余篇论文。曾获得中国博士后科学基金及日本学术振兴会博士后科研基金。