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arXiv · 2410.15434

Some distributions in increasing and flattened permutations

Jean-Luc Baril·José L. Ramírez
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Abstract

We examine the distribution and popularity of different parameters (such as the number of descents, runs, valleys, peaks, right-to-left minima, and more) on the sets of increasing and flattened permutations. For each parameter, we provide an exponential generating function for its corresponding distribution and popularity.Additionally, we present one-to-one correspondences between these permutations and some classes of simpler combinatorial objects.

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Jean-Luc Baril, José L. Ramírez. 2024-10-20. Some distributions in increasing and flattened permutations. https://arxiv.org/abs/2410.15434

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