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Advances in Appl. Math., 27, 2001, p. 367-389.

# Dominique Foata et Guoniu Han

# Arbres minimax et polynômes d'André

**Abstract.**
On the set of minimax trees of a given order there can be defined
two families of operations, the complements and the reverses. We
study the actions of those operations and show that their orbits
are enumerated by combinatorial objects previously introduced,
such as the Hetyei-Reiner trees, the increasing trees and the
André trees. Various generating functions for those trees by
several statistics are also derived.

foata@math.u-strasbg.fr, guoniu@math.u-strasbg.fr

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