Emily Barnard ; Nathan Reading - Coxeter-biCatalan combinatorics

dmtcs:2519 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) - https://doi.org/10.46298/dmtcs.2519
Coxeter-biCatalan combinatoricsArticle

Authors: Emily Barnard 1; Nathan Reading ORCID1

  • 1 Department of mathematics [North Carolina]

We consider several counting problems related to Coxeter-Catalan combinatorics and conjecture that the problems all have the same answer, which we call the $W$ -biCatalan number. We prove the conjecture in many cases.

https://doi.org/10.46298/dmtcs.2519
Source: HAL:hal-01337831v1
Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Imported on: November 21, 2016
Keywords: alternating arc diagram,doubled root poset,twin nonnesting partitions,twin sortable element,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Licence: Attribution 4.0 International (CC BY 4.0)
Funding:
    Source : OpenAIRE Graph
  • Combinatorics and geometry of mutations; Funder: National Science Foundation; Code: 1500949
  • Coxeter combinatorics and cluster algebras; Funder: National Science Foundation; Code: 1101568
  • EMSW21-MCTP: Institute for Mathematics at North Carolina State University. (I'M at State); Funder: National Science Foundation; Code: 0943855

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