发布时间:2024-02-17 浏览次数:143
报告人: 翟明清教授(滁州学院)
报告题目:Extremal Eigenvalues and Graph Minors
时间: 2023年11月1日 14:00 开始
地点: 江宁校区励学楼B 210
邀请人: 李锐
报告摘要: Minors play an important role in graph theory, and extremal problems on forbidding minors have attracted appreciable amount of interest in the past decades. In 1990, Cvetković and Rowlinson conjectured that K1∇Pn−1 attains the maximum spectral radius over all n-vertex outer-planar graphs. Subsequently, Boots and Royle, and independently Cao and Vince, conjectured K2∇Pn−2 attains the maximum spectral radius over all n-vertex planar graphs. In 2019, Tait proposed a conjecture on Ks,t-minor free graphs. In this talk, we introduce stability method and absorbing method with their applications to deal with general minors.
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报告人简介: 翟明清,滁州学院教授,安徽师范大学博士生导师,博士毕业于华东师范大学运筹学与控制论专业。主要从事图谱理论,谱极值图论方向的研究。近年来在包括J. Combin. Theory B, Graph Theory, European J. Combin.,J. Electron. J. Combin.等图论方向顶级期刊上发表学术论文50余篇,主持国家自然科学基金2项。