Barnard, Emily and Reading, Nathan
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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)
Coxeter-biCatalan combinatorics
Authors: Barnard, Emily and Reading, Nathan
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.