Minimum Rank, Maximum Nullity, and Zero Forcing of Graphs (13frg164)


Shaun Fallat (University of Regina)

Michael Young (Iowa State University)


The Banff International Research Station will host the "Minimum Rank, Maximum Nullity, and Zero Forcing of Graphs" workshop from to .

Consider a symmetric matrix in which each entry is independantly determined to be zero, nonzero, or either. This group deals with determining the minimum rank and maximum nullity over all matrices of this form. In the last five years, we have been able to use graph parameters, specifically zero forcing, to help determine minimum ranks and maximum nullities. We will be focusing our study on graphs and their complements, as well as subdivided graphs.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).