Algebraic Graph Theory Seminar - Bojen Mohar

Title: Minimum eigenvalue of nonbipartite graphs

Abstract:

Let \rho and \lambda be the largest and the smallest eigenvalue of a connected graph G. It is well-known that \rho + \lambda \geq 0 and that equality occurs if and only if G is bipartite. The speaker will discuss what else can we say when G is not bipartite.