Refined Enumeration of Corners in Tree-like Tableaux
Discrete mathematics & theoretical computer science, Tome 19 (2017-2018) no. 3
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Tree-like tableaux are certain fillings of Ferrers diagrams originally introduced by Aval et al., which are in simple bijections with permutation tableaux coming from Postnikov's study of totally nonnegative Grassmanian and alternative tableaux introduced by Viennot. In this paper, we confirm two conjectures of Gao et al. on the refined enumeration of non-occupied corners in tree-like tableaux and symmetric tree-like tableaux via intermediate structures of alternative tableaux, linked partitions, type $B$ alternative tableaux and type $B$ linked partitions.
@article{DMTCS_2017_19_3_a3,
author = {Yan, Sherry H. F. and Zhou, Robin D. P.},
title = {Refined {Enumeration} of {Corners} in {Tree-like} {Tableaux}},
journal = {Discrete mathematics & theoretical computer science},
year = {2017-2018},
volume = {19},
number = {3},
doi = {10.23638/DMTCS-19-3-6},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-3-6/}
}
TY - JOUR AU - Yan, Sherry H. F. AU - Zhou, Robin D. P. TI - Refined Enumeration of Corners in Tree-like Tableaux JO - Discrete mathematics & theoretical computer science PY - 2017-2018 VL - 19 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-3-6/ DO - 10.23638/DMTCS-19-3-6 LA - en ID - DMTCS_2017_19_3_a3 ER -
%0 Journal Article %A Yan, Sherry H. F. %A Zhou, Robin D. P. %T Refined Enumeration of Corners in Tree-like Tableaux %J Discrete mathematics & theoretical computer science %D 2017-2018 %V 19 %N 3 %U http://geodesic.mathdoc.fr/articles/10.23638/DMTCS-19-3-6/ %R 10.23638/DMTCS-19-3-6 %G en %F DMTCS_2017_19_3_a3
Yan, Sherry H. F.; Zhou, Robin D. P. Refined Enumeration of Corners in Tree-like Tableaux. Discrete mathematics & theoretical computer science, Tome 19 (2017-2018) no. 3. doi: 10.23638/DMTCS-19-3-6
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