Paper ID: 2206.01291

A Multiset Version of Even-Odd Permutations Identity

Hossein Teimoori Faal

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.

Submitted: Jun 2, 2022