Finite Difference Calculus for Alternating Permutations

Published 9 Apr 2013 in math.CO | (1304.2483v1)

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.

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