Joint Mathematics ColloquiumUniversity of Idaho


Abstract 

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.
