Geodesic
Symmetric distribution of crossings and nestings in permutations of type \(B\)
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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This note contains two results on the distribution of crossing numbers and nesting numbers in permutations of type B. More precisely, we prove a $B_n$-analogue of the symmetric distribution of crossings and nestings of permutations due to Corteel [Adv. Appl. Math. 38(2)(2007), 149–163] as well as the symmetric distribution of $k$-crossings and $k$-nestings of permutations due to Burrill et al. [DMTCS proc. AN (2010), 593–600].
DOI : 10.37236/687
Classification : 05A05, 05A30
Mots-clés : crossing numbers, nesting numbers 
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     author = {Adel Hamdi},
     title = {Symmetric distribution of crossings and nestings in permutations of type {\(B\)}},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/687},
     zbl = {1229.05008},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/687/}
}
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Adel Hamdi. Symmetric distribution of crossings and nestings in permutations of type \(B\). The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/687

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