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Posets with the Maximal Antichain Property

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Abstract

A finite poset F has the maximal antichain property if every maximal F-free subposet of every finite poset P contains a maximal antichain of P. We find all finite posets with the maximal antichain property.

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References

  1. Sands, B., Shen, J.: When will every maximal F-free subposet contain a maximal element? Order (2009). doi:10.1007/s11083-009-9136-6

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  2. Schröder, B.S.W.: Ordered Sets: An Introduction. Birkhäuser, Boston (2003)

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  3. Shen, J.: Graph colouring and forbidden subgraphs. Ph.D. Thesis, University of Calgary (2008)

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada, T2N 1N4

    Bill Sands

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  1. Bill Sands
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Correspondence to Bill Sands.

Additional information

Research supported by NSERC Discovery Grant 69-1926.

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Sands, B. Posets with the Maximal Antichain Property. Order 27, 1–8 (2010). https://doi.org/10.1007/s11083-009-9133-9

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  • DOI: https://doi.org/10.1007/s11083-009-9133-9

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