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    数学与统计学院专家讲座预告

    发布时间:2023-03-20 浏览量:

    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.