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math.CO2019★ 12 cited
Linear algebraic techniques for spanning tree enumeration
Steven Klee, Matthew T. Stamps
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 c…
math.CO2019★ 26 cited
Linear algebraic techniques for weighted spanning tree enumeration
Steven Klee, Matthew T. Stamps
The weighted spanning tree enumerator of a graph with weighted edges is the sum of the products of edge weights over all the spanning trees in . In the special case that all…