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图的结构、谱与图上几何分析
图的结构、谱与图上几何分析
The extremal spectral radius of uniform hypergraphs avoiding a given structure
The extremal spectral radius of uniform hypergraphs avoiding a given structure
组织者
演讲者
王文环
时间
2026年10月14日 15:00 至 16:00
地点
Online
线上
Tencent 482 969 7386
(106457)
摘要
The spectral analogue of the Tur\'{a}n-type problem for linear $r$-uniform hypergraphs is considered. In this talk, we present some new results about the hypergraphs with the maximum spectral radii among the set of connected linear $k$-uniform hypergraphs on $n$ vertices without the expansion of a path of length 4, the connected outerplanar 3-uniform hypergraphs on $n$ vertices without Berge-$P_k$, and the linear outerplanar 3-uniform hypergraphs on $n$ vertices without a cycle of length three, etc.
演讲者介绍
王文环，上海大学副教授, 在图论及其应用领域发表了多篇学术论文，研究方向涉及图的能量排序、超树谱半径、Estrada指数、符号拉普拉斯系数等.