Permutations with Ascending and Descending Blocks
نویسنده
چکیده
We investigate permutations in terms of their cycle structure and descent set. To do this, we generalize the classical bijection of Gessel and Reutenauer to deal with permutations that have some ascending and some descending blocks. We then provide the first bijective proofs of some known results. We also solve some problems posed in [4] by Eriksen, Freij, and Wästlund, who study derangements that descend in blocks of prescribed lengths.
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ورودعنوان ژورنال:
- Electr. J. Comb.
دوره 17 شماره
صفحات -
تاریخ انتشار 2010