A Splitting Property of Maximal Antichains

نویسندگان

  • Rudolf Ahlswede
  • Péter L. Erdös
  • Niall Graham
چکیده

In every dense poset P every maximal antichain S may be partitioned into disjoint subsets S1 and S2 , such that the union of the upset of S1 with the downset of S2 yields the entire poset: U(S1) [ D(S2) = P . To nd a similar splitting of maximal antichains in posets is NP{hard in general.

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عنوان ژورنال:
  • Combinatorica

دوره 15  شماره 

صفحات  -

تاریخ انتشار 1995