A Combinatorial Bijection on k-Noncrossing Partitions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics
Link
https://link.springer.com/content/pdf/10.1007/s00493-021-4262-x.pdf
Reference19 articles.
1. S. A. Blanco and T. K. Petersen: Counting Dyck paths by area and rank, Ann. Comb. 18 (2014), 171–197.
2. M. Bousquet-Mélou and G. C. Xin: On partitions avoiding 3-crossings, Sém. Lothar. Combin. 54 (2006), Article B54e.
3. S. Burrill, S. Elizalde, M. Mishna and L. Yen: A generating tree approach to k-nonnesting partitions and permutations, Ann. Comb. 20 (2016), 453–485.
4. W. Y. C. Chen, E. Y. P. Deng, R. R. X. Du, R. P. Stanley and C. H. Yan: Crossings and nestings of matchings and partitions, Trans. Amer. Math. Soc. 359 (2007), 1555–1575.
5. E. Y. P. Deng and W. J. Yan: Some identities on the Catalan, Motzkin and Schrüder numbers, Discrete Appl. Math. 156 (2008), 2781–2789.
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