Mathematics > Combinatorics
[Submitted on 2 Jun 2022]
Title:A Multiset Version of Even-Odd Permutations Identity
View PDFAbstract: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.
Submission history
From: Hossein Teimoori Faal [view email][v1] Thu, 2 Jun 2022 20:23:44 UTC (10 KB)
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