On the existence of regular antichains

Ian Roberts, Matthias Bohm

    Research output: Contribution to journalArticle

    Abstract

    A k-regular antichain in the Boolean lattice of subsets is one in which each point occurs in exactly k sets. The existence and construction of k-regular antichains on m points for each positive integer pair (k,m) is determined for all m and most k.
    Original languageEnglish
    Pages (from-to)348-356
    Number of pages9
    JournalDiscrete Mathematics
    Volume313
    Issue number4
    DOIs
    Publication statusPublished - 28 Feb 2013

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