Kirchhoff’s matrix-tree theorem asserts that the number of spanning trees in a finite graph can be computed from the determinant of any of its reduced Laplacian matrices. In many cases, even for ...

The classical matrix-tree theorem relates the determinant of the combinatorial Laplacian on a graph to the number of spanning trees. We generalize this result to Laplacians on one- and two-dimensional ...

Abstract Canada Research Chair in Mathematical Physics and Deputy Director of PIMS Abstract: This will be an exposition of identities that link Gaussian integration with combinatorial problems, in ...