报告题目：On $A_\alpha$ spectral extrema of graphs involving tree-structure or cycle structure

报 告 人：李书超，华中师范大学

报告摘要：Given a graph $G$, for a real number $\alpha\in [0,1],$ Nikiforov (2017) proposed the $A_\alpha$-matrix of $G$ as $A_{\alpha}(G)=\alpha D(G)+(1-\alpha)A(G)$, where $A(G)$ and $D(G)$ are the adjacency matrix and the degree diagonal matrix of $G$, respectively. The largest eigenvalue of $A_{\alpha}(G)$ is called the $A_\alpha$-index of $G.$ The $A_\alpha$-spectra attracts more and more researchers’ attention. In this talk, using a unified approach we consider the $A_\alpha$ spectral extrema of graphs forbidding a tree with given order, or forbidding even cycles. This is a joint work with Dr. Yuantian Yu.

报告人简介：李书超，华中师范大学教授，博士生导师，主要从事组合数学、图论及其应用方面的研究。相继在Advances in Applied Mathematics, Journal of Algebraic Combinatorics, European Journal of Combinatorics，Electronic Journal of Combinatorics, Discrete Mathematics等学术期刊发表论文100余篇。先后主持、完成国家自科项目以及省部级项目多项。教育部“新世纪优秀人才支持计划”入选者，主持完成的课题“图的几类不变量的研究”获湖北省自然科学三等奖。

报告时间：2023年5月9日 16:00-18:00

报告地点：腾讯会议 ID: 391191189

主办单位：伟德国际1946源自英国