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<p>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.</p>

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Some distributions on increasing and flattened permutations

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月9日

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  • Jean-Luc Baril,
  • José L. Ramírez

摘要

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.