報 告 人：翟明清 教授
報告題目：Extremal Eigenvalues and Graph Minors
報告時間：2023年9月21日（周四）上午08:30
報告地點：靜遠樓1506學術報告廳
主辦單位：數學與統計學院、數學研究院、科學技術研究院
報告人簡介：
翟明清，滁州學院教授，2010年博士畢業于華東師范大學運籌學與控制論專業，2012年獲評教授，2022年獲聘安徽師范大學博士生導師。近年來在J. Combin. Theory B, J. Graph Theory, European J. Combin., Electron. J. Combin.等期刊發表學術論文40余篇，主持國家自然科學基金2項。研究方向：圖譜理論，譜極值圖論。
報告摘要：
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, Cvetkovi? 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. This is a joint work with Longfei Fang and Huiqiu Lin.