Department of Mathematical Sciences
University of Delaware
"A Brief Tour of Spectral Graph Theory"
Spectral graph theory is the study of eigenvalues of graphs and their connections to the graphs combinatorial properties. In this talk, I will present some of my favorite results in spectral graphs involving expanders, graph decomposition and addressings, strongly regular graphs and spectral characterization of graphs. The talk should be accessible to a broad audience and I will present several open problems.