数学与统计学院专家讲座预告-876cc棋牌

报告题目：on the multiplicity of the least signless laplacian eigenvalue of graphs

报告人：田凤雷

时间：2023年3月22日19:00-20:00

报告地点：线上腾讯会议（542-551-045）

数学与统计学院

2023年3月20日

报告内容：let $g$ be a simple and connected graph of order $n(\geq 5)$. the eigenvalues of the signless laplacian matrix $q(g)$ of $g$ are called the $q$-eigenvalues of $g$. let $\rho_n(g)$ be the least $q$-eigenvalue of $g$. in this report, we investigate the multiplicity of $\rho_n(g)$ and present all $n$-vertex graphs with $\rho_n(g)$ of multiplicity $n-3$. moreover, it is shown that all these graphs are determined by their signless laplacian spectra.