A Distributive Lattice Structure Connecting Dyck Paths, Noncrossing Partitions and 312-avoiding Permutations

Author:

Barcucci Elena,Bernini Antonio,Ferrari Luca,Poneti Maddalena

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Geometry and Topology,Algebra and Number Theory

Reference32 articles.

1. Aigner, M.: Combinatorial Theory, Springer, Berlin Heidelberg New York, 1979.

2. Aigner, M.: Catalan and other numbers: A recurrent theme, In: H. Crapo and D. Senato (eds.), Algebraic Combinatorics and Computer Science, Springer, Milano, 2001, pp. 347–390.

3. Babson, E. and Steingrímsson, E.: Generalized permutation patterns and a classification of the Mahonian statistics, Sém. Lothar. Combin. 44 (2000), Art. B44b, 18 pp.

4. Banderier, C., Bousquet-Mélou, M., Denise, A., Flajolet, P., Gardy, D. and Gouyou-Beauchamps, D.: Generating functions for generating trees, Discrete Math. 246 (2002), 29–55.

5. Bandlow, J. and Killpatrick, K.: An area-to-inv bijection between Dyck paths and 312-avoiding permutations, Electron. J. Combin. 8 (2001), #R40, (16 pp.)

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