Bessenrodt-Stanley polynomials and the octahedron recurrence

Philippe Di Francesco (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Domaines: Physique mathématique [math-ph]

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