Minimally Intersecting Set Partitions of Type $B$
نویسندگان
چکیده
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 ...
متن کاملOn Cross-Intersecting Families of Set Partitions
Let B(n) denote the collection of all set partitions of [n]. Suppose A1,A2 ⊆ B(n) are cross-intersecting i.e. for all A1 ∈ A1 and A2 ∈ A2, we have A1 ∩A2 6= ∅. It is proved that for sufficiently large n,
متن کاملSingletons and adjacencies of set partitions of type B
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.
متن کاملStrongly intersecting integer partitions
We call a sum a1 + a2 + · · ·+ ak a partition of n of length k if a1, a2, . . . , ak and n are positive integers such that a1 ≤ a2 ≤ · · · ≤ ak and n = a1 + a2 + · · ·+ ak. For i = 1, 2, . . . , k, we call ai the i-th part of the sum a1 + a2 + · · ·+ ak. Let Pn,k be the set of all partitions of n of length k. We say that two partitions a1 + a2 + · · · + ak and b1 + b2 + · · ·+ bk strongly inter...
متن کاملIntersecting integer partitions
If a1, a2, . . . , ak and n are positive integers such that n = a1+a2+· · ·+ak, then the sum a1 + a2 + · · ·+ ak is said to be a partition of n of length k, and a1, a2, . . . , ak are said to be the parts of the partition. Two partitions that differ only in the order of their parts are considered to be the same partition. Let Pn be the set of partitions of n, and let Pn,k be the set of partitio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2010
ISSN: 1077-8926
DOI: 10.37236/294