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**Harvard**

Burstein, A. och Eriksen, N. (2008) *Combinatorial properties of permutation tableaux*.

** BibTeX **

@conference{

Burstein2008,

author={Burstein, Alexander and Eriksen, Niklas},

title={Combinatorial properties of permutation tableaux},

booktitle={20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08; Valparaiso; Chile; 23 June 2008 through 27 June 2008},

pages={625-640},

abstract={We give another construction of a permutation tableau from its corresponding permutation and construct a permutation-preserving bijection between 1-hinge and 0-hinge tableaux. We also consider certain alignment and crossing statistics on permutation tableaux that have previously been shown to be equidistributed by mapping them to patterns in related permutations. We give two direct maps on tableaux that prove the equidistribution of those statistics by exchanging some statistics and preserving the rest. Finally, we enumerate some sets of permutations that are restricted both by pattern avoidance and by certain parameters of their associated permutation tableaux.},

year={2008},

keywords={Permutation patterns; Permutation tableaux},

}

** RefWorks **

RT Conference Proceedings

SR Print

ID 253484

A1 Burstein, Alexander

A1 Eriksen, Niklas

T1 Combinatorial properties of permutation tableaux

YR 2008

T2 20th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC'08; Valparaiso; Chile; 23 June 2008 through 27 June 2008

SP 625

OP 640

AB We give another construction of a permutation tableau from its corresponding permutation and construct a permutation-preserving bijection between 1-hinge and 0-hinge tableaux. We also consider certain alignment and crossing statistics on permutation tableaux that have previously been shown to be equidistributed by mapping them to patterns in related permutations. We give two direct maps on tableaux that prove the equidistribution of those statistics by exchanging some statistics and preserving the rest. Finally, we enumerate some sets of permutations that are restricted both by pattern avoidance and by certain parameters of their associated permutation tableaux.

LA eng

OL 30