# A Multiset Version of Even-Odd Permutations Identity

arXiv: https://arxiv.org/abs/2206.01291 · HTML: https://mlsanity.com/paper/2206.01291/

## Key facts

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- First posted on arXiv 2 Jun 2022.

## Abstract (arXiv)

In this paper, we give a new bijective proof of a multiset analogue of even-odd permutations identity. This multiset version is equivalent to the original coin arrangements lemma which is a key combinatorial lemma in the Sherman's Proof of a conjecture of Feynman about an identity on paths in planar graphs related to combinatorial solution of two dimensional Ising model in statistical physics.