Finite Difference Calculus for Alternating Permutations
Combinatorics
2013-04-10 v1
Abstract
The finite difference equation system introduced by Christiane Poupard in the study of tangent trees is reinterpreted in the alternating permutation environment. It makes it possible to make a joint study of both tangent and secant trees and calculate the generating polynomial for alternating permutations by a new statistic, referred to as being the greater neighbor of the maximum.
Cite
@article{arxiv.1304.2483,
title = {Finite Difference Calculus for Alternating Permutations},
author = {Dominique Foata and Guo-Niu Han},
journal= {arXiv preprint arXiv:1304.2483},
year = {2013}
}