Elizalde, Sergi and Roichman, Yuval - Arc Permutations (extended abstract)

dmtcs:3037 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Arc Permutations (extended abstract)

Authors: Elizalde, Sergi and Roichman, Yuval

Arc permutations and unimodal permutations were introduced in the study of triangulations and characters. In this paper we describe combinatorial properties of these permutations, including characterizations in terms of pattern avoidance, connections to Young tableaux, and an affine Weyl group action on them.


Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Submitted on: January 31, 2017
Keywords: arc permutation, pattern avoidance, unimodal permutation, Young tableau, weak order, affine Weyl group,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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