报 告 人：翟明清 教授
报告题目：Extremal Eigenvalues and Graph Minors
报告时间：2023年9月21日（周四）上午08:30
报告地点：静远楼1506学术报告厅
主办单位：太阳成集团、数学研究院、科学技术研究院
报告人简介：
翟明清，滁州学院教授，2010年博士毕业于华东师范大学运筹学与控制论专业，2012年获评教授，2022年获聘安徽师范大学博士生导师。近年来在J. Combin. Theory B, J. Graph Theory, European J. Combin., Electron. J. Combin.等期刊发表学术论文40余篇，主持国家自然科学基金2项。研究方向：图谱理论，谱极值图论。
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. This is a joint work with Longfei Fang and Huiqiu Lin.