On multipartite posets

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On 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...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2008

ISSN: 0012-365X

DOI: 10.1016/j.disc.2007.09.001