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A new encoding of permutations by Laguerre histories (1902.01546v1)
Published 5 Feb 2019 in math.CO
Abstract: We construct a bijection from permutations to some weighted Motzkin paths known as Laguerre histories. As one application of our bijection, a neat $q$-$\gamma$-positivity expansion of the $(\inv,\exc)$-$q$-Eulerian polynomials is obtained.
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