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:数学与统计学院、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, 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.