報(bào) 告 人：翟明清 教授 

報(bào)告題目：Extremal Eigenvalues and Graph Minors

報(bào)告時(shí)間：2023年9月21日（周四）上午08:30

報(bào)告地點(diǎn)：靜遠(yuǎn)樓1506學(xué)術(shù)報(bào)告廳

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院 

報(bào)告人簡介：

      翟明清，滁州學(xué)院教授，2010年博士畢業(yè)于華東師范大學(xué)運(yùn)籌學(xué)與控制論專業(yè)，2012年獲評教授，2022年獲聘安徽師范大學(xué)博士生導(dǎo)師。近年來在J. Combin. Theory B, J. Graph Theory, European J. Combin., Electron. J. Combin.等期刊發(fā)表學(xué)術(shù)論文40余篇，主持國家自然科學(xué)基金2項(xiàng)。研究方向：圖譜理論，譜極值圖論。 

報(bào)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.