## Barnard, Emily and Reading, Nathan - 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.

Source : oai: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
Submitted 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]