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A Multiset Version of Even-Odd Permutations Identity

2022-06-02 20:23:44
Hossein Teimoori Faal
arXiv_CL
 
Abstract

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.

Abstract (translated)

URL

https://arxiv.org/abs/2206.01291

PDF

https://arxiv.org/pdf/2206.01291.pdf

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