Bessenrodt-Stanley polynomials and the octahedron recurrence
The electronic journal of combinatorics, Tome 22 (2015) no. 3
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.
DOI :
10.37236/4434
Classification :
05A17, 05A15, 05C22, 05E10, 82B20
Mots-clés : partitions, Laurent property, networks, dimers
Mots-clés : partitions, Laurent property, networks, dimers
Affiliations des auteurs :
Philippe Di Francesco  1
@article{10_37236_4434,
author = {Philippe Di Francesco},
title = {Bessenrodt-Stanley polynomials and the octahedron recurrence},
journal = {The electronic journal of combinatorics},
year = {2015},
volume = {22},
number = {3},
doi = {10.37236/4434},
zbl = {1323.05014},
url = {http://geodesic.mathdoc.fr/articles/10.37236/4434/}
}
Philippe Di Francesco. Bessenrodt-Stanley polynomials and the octahedron recurrence. The electronic journal of combinatorics, Tome 22 (2015) no. 3. doi: 10.37236/4434
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