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Title: Various Maximum Nullities Associated with a Graph

Speaker: Shaun Fallat Affiliation: University of Regina Zoom: Contact Soffia Arnadottir

Abstract:

Given a graph, we associate a collection of (typically symmetric) matrices S whose pattern of non-zero entries off of the main diagonal respects the edges in the graph. To this set, we let M denote the maximum possible nullity over all matrices in S. Depending on the choice of the set S, and the family of graphs considered, the parameter M often corresponds to an interesting combinatorial characteristic (planarity, connectivity, coverings, etc.) of the underlying graph.