Taylor Expansion Proof of the Matrix Tree Theorem - Part II
Combinatorics
2023-03-14 v1
Abstract
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 offer a particularly short proof of this result, which amounts to comparing Taylor series expansions.
Keywords
Cite
@article{arxiv.1308.2160,
title = {Taylor Expansion Proof of the Matrix Tree Theorem - Part II},
author = {Amitai Netser Zernik},
journal= {arXiv preprint arXiv:1308.2160},
year = {2023}
}