Geodesic
Combinatorial statistics on type-B analogues of noncrossing partitions and restricted permutations
The electronic journal of combinatorics, Tome 7 (2000)
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We define type-B analogues of combinatorial statistics previously studied on noncrossing partitions and show that analogous equidistribution and symmetry properties hold in the case of type-B noncrossing partitions. We also identify pattern-avoiding classes of elements in the hyperoctahedral group which parallel known classes of restricted permutations with respect to their relations to noncrossing partitions.
DOI : 10.37236/1487
Classification : 05A15, 05A05, 05A18
Mots-clés : pattern-avoidance, signed permutations, permutation statistics, \(q\)-analogue, partition statistics, combinatorial statistics, noncrossing partitions, restricted permutations 
@article{10_37236_1487,
     author = {Rodica Simion},
     title = {Combinatorial statistics on {type-B} analogues of noncrossing partitions and restricted permutations},
     journal = {The electronic journal of combinatorics},
     year = {2000},
     volume = {7},
     doi = {10.37236/1487},
     zbl = {0938.05003},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1487/}
}
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%J The electronic journal of combinatorics
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Rodica Simion. Combinatorial statistics on type-B analogues of noncrossing partitions and restricted permutations. The electronic journal of combinatorics, Tome 7 (2000). doi: 10.37236/1487

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