منابع مشابه
Minimally Intersecting Set Partitions of Type B
This paper is primarily concerned with the meet structure of the lattice of type Bn partitions of the set {±1, ±2, . . . , ±n}. The lattice of type Bn set partitions has been studied by Reiner [8]. It can be regarded as a representation of the intersection lattice of the type B Coxeter arrangements, see Björner and Wachs [3], Björner and Brenti [2] and Humphreys [6]. A set partition of type Bn ...
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We show that the joint distribution of the number of singleton pairs and the number of adjacency pairs is symmetric over the set partitions of type Bn without zero-block, in analogy with the result of Callan for ordinary partitions.
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In this paper, we extend the notion of labeled partitions with ordinary permutations to colored permutations in the sense that the colors are endowed with a cyclic structure. We use labeled partitions with colored permutations to derive the generating function of the fmajk indices of colored permutations. The second result is a combinatorial treatment of a relation on the q-derangement numbers ...
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We study three similar bijections on set partitions. The first is an involution defined by Kasraoui and Zeng which proves the symmetry of the distribution of crossings and nestings. We show that a stronger result can be deduced. The second gives a bijective proof of the equivalence of two statistics with a q-Stirling distribution. The third proves the equivalence of a multivariate block size di...
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ژورنال
عنوان ژورنال: Open Mathematics
سال: 2014
ISSN: 2391-5455
DOI: 10.2478/s11533-014-0419-9