منابع مشابه
Binomial posets with non-isomorphic intervals
The confluent binomial posets with the atomic function A(n) = max(1, 2n−2) are classified. In particular, it is shown that in general there are non-isomorphic intervals of the same length.
متن کاملInterval number of special posets and random posets
The interval number i(P) of a poset P is the smallest t such that P is a containment of sets that are unions of at most t real intervals. For the special poset Bn(k) consisting of the singletons and ksubsets of an n-element set, ordered by inclusion, i(Bn(k)) = min {k, n − k + 1} if |n/2 − k | ≥ n/2 − (n/2). For bipartite posets with n elements or n minimal elements, i(P) ≤ n lgn − lglgn + ...
متن کاملOn multipartite posets
Let m ≥ 2 be an integer. We say that a poset P = (X, ) is m-partite if X has a partition X = X1 ∪ · · · ∪Xm such that (1) each Xi forms an antichain in P, and (2) x ≺ y implies x ∈ Xi and y ∈ Xj where i, j ∈ {1, . . . , m} and i < j. If P is m-partite for some m ≥ 2, then we say it is multipartite. – In this article we discuss the order dimension of multipartite posets in general and derive tig...
متن کاملPlane posets, special posets, and permutations
We study the self-dual Hopf algebra HSP of special posets introduced by Malvenuto and Reutenauer and the Hopf algebra morphism from HSP to the Hopf algebra of free quasi-symmetric functions FQSym given by linear extensions. In particular, we construct two Hopf subalgebras both isomorphic to FQSym; the first one is based on plane posets, the second one on heap-ordered forests. An explicit isomor...
متن کاملProbability on L-posets
The aim of this paper is to create the probability theory on L-posets. We show some known examples of L-posets and their probabilities and observables.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1999
ISSN: 0011-4642,1572-9141
DOI: 10.1023/a:1022456124478