COLLEGE OF ARTS AND SCIENCES Department of Mathematics and Statistics


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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.