English

Bessenrodt-Stanley polynomials and the octahedron recurrence

Combinatorics 2014-06-05 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1406.1098,
  title  = {Bessenrodt-Stanley polynomials and the octahedron recurrence},
  author = {Philippe Di Francesco},
  journal= {arXiv preprint arXiv:1406.1098},
  year   = {2014}
}

Comments

28 pages, 42 figures

R2 v1 2026-06-22T04:30:42.222Z