====== Nate Reff (Binghamton) ====== ====== Extensions of Spectral Graph Theory ====== ===== Abstract for the Combinatorics Seminar 2009 November 3 ===== The goal of spectral graph theory is to discover relationships between a graph's combinatorial properties and its associated matrices. In this talk I will extend some results of spectral graph theory to more general graphs, such as signed graphs and abelian gain graphs. ----