3-Interval irreducible partially ordered sets

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1994 English Publisher:Springer Science and Business Media LLCJournal:Order, volume 11, pages 97-125 (issn: 0167-8094, eissn: 1572-9273,

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Authors: Felsner, Stefan;

doi: 10.1007/bf01108596

3-Interval irreducible partially ordered sets

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Abstract

The paper deals with the interval dimension of partially ordered sets (posets). Especially, the author studies 3-interval irreducible posets. He introduces the notion of a reduced partial stack and shows that every 3-interval irreducible poset is a reduced partial stack of some bipartite 3-interval irreducible poset. Moreover, large classes of 3-interval irreducible posets are described.

Related Organizations

Freie Universität Berlin
Germany

Keywords

Combinatorics of partially ordered sets, interval dimension, Extremal problems in graph theory, 3-interval irreducible posets, reduced partial stack, interval order, partially ordered sets

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