Refined Catalan and Narayana cyclic sieving
Autor: | Alexandersson, Per, Linusson, Svante, Potka, Samu, Uhlin, Joakim |
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Rok vydání: | 2020 |
Předmět: | |
Zdroj: | Combinatorial Theory, 1, (2021) |
Druh dokumentu: | Working Paper |
DOI: | 10.5070/C61055513 |
Popis: | We prove several new instances of the cyclic sieving phenomenon (CSP) on Catalan objects of type A and type B. Moreover, we refine many of the known instances of the CSP on Catalan objects. For example, we consider triangulations refined by the number of "ears", non-crossing matchings with a fixed number of short edges, and non-crossing configurations with a fixed number of loops and edges. Comment: Updated version, minor changes |
Databáze: | arXiv |
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