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Chain enumeration and non-crossing partitions |
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| Authors: | Paul H. Edelman |
| Affiliation: | Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA |
| Abstract: | A formula is established for the number of chains with designated ranks in the non-crossing partition lattice. As corollaries, certain results of Kreweras are obtained. Non-crossing partitions are then generalized in two ways, and similar problems are solved. |
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