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math.CO2013
Taylor Expansion Proof of the Matrix Tree Theorem - Part I
Amitai Netser Zernik
The Matrix-Tree Theorem states that the number of spanning trees of a graph is given by the absolute value of any cofactor of the Laplacian matrix of the graph. We propose a very s…
math.CO2013
Taylor Expansion Proof of the Matrix Tree Theorem - Part II
Amitai Netser Zernik
The All Minors Matrix Tree Theorem states that the determinant of any submatrix of a matrix whose columns sum to zero can be computed as a sum over certain oriented forests. We off…