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.
Organizers:
Chang, Shu-Cheng
Kuo, Ting-Jung
Lin, Chun-Chi