Arthur Nunge
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An equivalence of multistatistics on permutations
dmtcs:6418 -
Discrete Mathematics & Theoretical Computer Science,
April 22, 2020,
DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
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https://doi.org/10.46298/dmtcs.6418
An equivalence of multistatistics on permutationsArticle
We prove a conjecture of J.-C. Novelli, J.-Y. Thibon, and L. K. Williams (2010) about an equivalence of two triples of statistics on permutations. To prove this conjecture, we construct a bijection through different combinatorial objects, starting with a Catalan based object related to the PASEP.
Bao-Xuan Zhu, 2020, A generalized Eulerian triangle from staircase tableaux and tree-like tableaux, Journal of Combinatorial Theory Series A, 172, pp. 105206, 10.1016/j.jcta.2019.105206.