Mathematics Colloquium: Matrices and Their Kirchhoff Graphs
4:10 pm Neill 5W
Dr. Joseph Fehribach
Given a matrix with integer or rational elements, this talk will introduce the concept of a Kirchhoff or fundamental graph for the matrix. A Kirchhoff graph represents the fundamental theorem of linear algebra for the matrix. The construction of these graphs and some of their properties will be discussed. The final portion of this talk describes the connection between these graphs and chemical reaction networks (such as those in batteries and fuel cells) which motivates their definition.