Methods for nesting rank 3 normalized matching rank-unimodal posets

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چکیده

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Some Sufficient Conditions for Finding a Nesting of the Normalized Matching Posets of Rank 3

Given a graded poset P , consider a chain decomposition C of P . If |C1| ≤ |C2| implies that the set of the ranks of elements in C1 is a subset of the ranks of elements in C2 for any chains C1, C2 ∈ C, then we say C is a nested chain decomposition (or nesting, for short) of P , and P is said to be nested. In 1970s, Griggs conjectured that every normalized matching rank-unimodal poset is nested....

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2009

ISSN: 0012-365X

DOI: 10.1016/j.disc.2008.07.013