Stirling permutations, cycle structure of permutations and perfect matchings
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作者:
Ma, Shi-Mei
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机构:
Northeastern Univ, Sch Math & Stat, Qinhuangdao 066000, Hebei, Peoples R ChinaNortheastern Univ, Sch Math & Stat, Qinhuangdao 066000, Hebei, Peoples R China
Ma, Shi-Mei
[1
]
Yeh, Yeong-Nan
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机构:
Acad Sinica, Inst Math, Taipei, TaiwanNortheastern Univ, Sch Math & Stat, Qinhuangdao 066000, Hebei, Peoples R China
Yeh, Yeong-Nan
[2
]
机构:
[1] Northeastern Univ, Sch Math & Stat, Qinhuangdao 066000, Hebei, Peoples R China
[2] Acad Sinica, Inst Math, Taipei, Taiwan
来源:
ELECTRONIC JOURNAL OF COMBINATORICS
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2015年
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22卷
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04期
In this paper we provide constructive proofs that the following three statistics are equidistributed: the number of ascent plateaus of Stirling permutations of order n, a weighted variant of the number of excedances in permutations of length n and the number of blocks with even maximal elements in perfect matchings of the set {1,2,3,...,2n}.
机构:
Univ Fed Rio Grande Do Sul, Dept Matemat Pura & Aplicada, Ave Bento Goncalves 9500, BR-91509900 Porto Alegre, BrazilUniv Fed Rio Grande Do Sul, Dept Matemat Pura & Aplicada, Ave Bento Goncalves 9500, BR-91509900 Porto Alegre, Brazil
Capaverde, Juliane
Masuda, Ariane M.
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机构:
CUNY, New York City Coll Technol, Dept Math, 300 Jay St, Brooklyn, NY 11201 USAUniv Fed Rio Grande Do Sul, Dept Matemat Pura & Aplicada, Ave Bento Goncalves 9500, BR-91509900 Porto Alegre, Brazil
Masuda, Ariane M.
Rodrigues, Virginia M.
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机构:
Univ Fed Rio Grande Do Sul, Dept Matemat Pura & Aplicada, Ave Bento Goncalves 9500, BR-91509900 Porto Alegre, BrazilUniv Fed Rio Grande Do Sul, Dept Matemat Pura & Aplicada, Ave Bento Goncalves 9500, BR-91509900 Porto Alegre, Brazil