Tree-like Tableaux
@article{Aval2013TreelikeT,
title={Tree-like Tableaux},
author={Jean-Christophe Aval and A. Boussicault and P. Nadeau},
journal={Electron. J. Comb.},
year={2013},
volume={20},
pages={P34}
}In this work we introduce and study tree-like tableaux, which are certain fillings of Ferrers diagrams in simple bijection with permutation tableaux and alternative tableaux. We exhibit an elementary insertion procedure on our tableaux which gives a clear proof that tableaux of size n are counted by n!, and which moreover respects most of the well-known statistics studied originally on alternative and permutation tableaux. Our insertion procedure allows to define in particular two simple new… CONTINUE READING
48 Citations
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