Restricted Permutations Enumerated by Inversions

Atli Fannar Franklín, Anders Claesson, Christian Bean, Henning Úlfarsson, Jay Pantone
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Abstract

Permutations are usually enumerated by size, but new results can be found by enumerating them by inversions instead, in which case one must restrict one's attention to indecomposable permutations. In the style of the seminal paper by Simion and Schmidt, we investigate all combinations of permutation patterns of length at most 3.
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通过反演枚举的受限排列组合
排列组合通常是按大小枚举的,但通过倒置枚举可以发现新的结果,在这种情况下,我们必须把注意力限制在不可分解的排列组合上。按照西米恩和施密特的开创性论文的风格,我们研究了长度最多为 3 的所有排列组合。
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