Signed graphs as a tool for studying linear and nonlinear graph eigenvalue problems
Time:2023-12-29 9:15 (Fri.) / Place:Online
Zoom: 811 5638 1768 (Password : msrc)
Prof. Shiping Liu
(University of Science and Technology of China)
A signed graph is a graph whose edges are labelled by a signature. It serves as a simple model of discrete vector bundles. We will survey the application of this structure in the study of linear and nonlinear spectral graph theory. The topics include discrete nodal domain theorems, eigenvalue estimates via vertex/edge isoperimetric constants, etc. This talk is based on joint works with Chuanyuan Ge and Dong Zhang, and with Chunyang Hu.