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arxiv: 1512.01799 · v1 · pith:TVYW4CHAnew · submitted 2015-12-06 · 🧮 math.CO

The cycle descent statistic on permutations

classification 🧮 math.CO
keywords permutationscycledescentstatisticbijectioncallanconstructconstructed
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In this paper we study the cycle descent statistic on permutations. Several involutions on permutations and derangements are constructed. Moreover, we construct a bijection between negative cycle descent permutations and Callan perfect matchings.

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