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.
https://hal-cea.archives-ouvertes.fr/cea-01251627 Contributor : Emmanuelle De LaborderieConnect in order to contact the contributor Submitted on : Wednesday, January 6, 2016 - 3:04:11 PM Last modification on : Monday, December 13, 2021 - 9:16:04 AM Long-term archiving on: : Thursday, April 7, 2016 - 4:03:37 PM
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⟩