發布時間:2024-02-17 浏覽次數:143
報告人: 翟明清教授(滁州學院)
報告題目:Extremal Eigenvalues and Graph Minors
時間: 2023年11月1日 14:00 開始
地點: 江甯校區勵學樓B 210
邀請人: 李銳
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, 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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報告人簡介: 翟明清,滁州學院教授,安徽師範大學博士生導師,博士畢業于華東師範大學運籌學與控制論專業。主要從事圖譜理論,譜極值圖論方向的研究。近年來在包括J. Combin. Theory B, Graph Theory, European J. Combin.,J. Electron. J. Combin.等圖論方向頂級期刊上發表學術論文50餘篇,主持國家自然科學基金2項。