时间:2024.8.3(周六)上午10:30-12:00
地点:数学楼2-3会议室
题目: Some conjectures on the Laplacian eigenvalues of graphs
摘要:Let $G$ be a simple connected graph with $n$ vertices. The matrix $L(G)=D(G)-A(G)$ is called Laplacian matrix of $G$, where $A(G)$ is the adjacency matrix of $G$ and $D(G)=diag(d(v_1),d(v_2),\ldots,d(v_n))$ is the diagonal matrix of vertex degrees of $G$. In this topic, we will introduce some old and new results on Laplacian eigenvalues and some new conjectures are also proposed.
报告人简介:郭继明,华东理工大学理学院数学系教授, 博士生导师,上海市数学会常务理事、中国工业与应用数学学会理事。主要研究方向为图论与组合数学,先后主持多项国家自然科学基金面上项目,出版学术专著一部,在国内外专业期刊《Linear Algebra and Its Applications》、《Discrete Applied Mathematics》、《Discrete Mathematics》、《Linear and Multilinear Algebra》、《Journal of Graph Theory》 、《中国科学》、《Graphs and Combinatorics》等上发表论文90余篇.