Generalized Dellac configurations
Combinatorics
2021-04-07 v1 Mathematical Physics
math.MP
Abstract
We study combinatorics of two generalizations of Dellac configurations. First, we establish a correspondence between a generalized Dellac configuration with three parameters and a generalized Dumont permutations. Secondly, by relaxing conditions on Dellac configurations, we introduce a generalization which we call Dellac configurations with boundaries. We show several recurrence relations for the Poincar\'e polynomials of Dellac configurations with boundaries.
Keywords
Cite
@article{arxiv.2104.02455,
title = {Generalized Dellac configurations},
author = {Keiichi Shigechi},
journal= {arXiv preprint arXiv:2104.02455},
year = {2021}
}
Comments
31 pages