Cycles on a multiset with only even-odd drops
نویسندگان
چکیده
For a finite subset A of Z>0, Lazar and Wachs (2019) conjectured that the number cycles on with only even-odd drops is equal to D-cycles A. In this note, we introduce multiset prove bijectively version their conjecture. As consequence, [2n] equals Genocchi gn. With Laguerre histories as an intermediate structure, also construct bijection between class permutations length 2n?1 known be counted by gn invented Dumont drops.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2022
ISSN: ['1872-681X', '0012-365X']
DOI: https://doi.org/10.1016/j.disc.2021.112683