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Bessenrodt-Stanley Polynomials and the Octahedron Recurrence

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 11 Sep 2015Embargo end date: 01 Jan 2014 France Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 22 (eissn: 1077-8926, Copyright policy )
Authors: Di Francesco, Philippe;

doi: 10.37236/4434 , 10.48550/arxiv.1406.1098

arXiv: http://arxiv.org/abs/1406.1098

Bessenrodt-Stanley Polynomials and the Octahedron Recurrence

Abstract

We show that a family of multivariate polynomials recently introduced by Bessenrodt and Stanley can be expressed as solution of the octahedron recurrence with suitable initial data. This leads to generalizations and explicit expressions as path or dimer partition functions.

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France
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Keywords

FOS: Mathematics, Mathematics - Combinatorics, FOS: Physical sciences, Combinatorics (math.CO), Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], 05C22, 05E10, 05A15, 05A30, 82B20, Mathematical Physics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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