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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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Submitted on : Wednesday, January 6, 2016 - 3:04:11 PM
Last modification on : Wednesday, April 14, 2021 - 12:12:03 PM
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  • HAL Id : cea-01251627, version 1
  • ARXIV : 1406.1098


Philippe Di Francesco. Bessenrodt-Stanley polynomials and the octahedron recurrence. The Electronic Journal of Combinatorics, Open Journal Systems, 2015, 22, pp.P3.35. ⟨cea-01251627⟩