Nonlinear analysis and mathematical physcis seminar——Signed graphs as a tool for studying the linear and nonlinear graph eigenvalue problems
报告人：Shiping Liu
时间：2023-03-23 16:00-17:00
地点：Zoom ID：836 9727 7124 Password：230323
Abstract：
A signed graph is a graph whose edges are labelled by a signature. It serves as a simple model of discrete vector bundle. We will explain nodal domain theorems for arbitrary symmetric matrices by exploring the induced signed graph structure. Applications to spectral theory of graph p-Laplacians will be discussed. For example, we will show that there is no other eigenvalue between the largest and the second largest variational eigenvalues of the graph p-Laplacian (p>1) on bipartite graphs. This talk is based on a joint work with Chuanyuan Ge and Dong Zhang.
Join Zoom Meeting:
https://us06web.zoom.us/j/83697277124?pwd=d2xGOEV2cjZhRXFBZDI1bEl0UVIvdz09
Meeting ID：836 9727 7124
Password：230323
