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Antichain cutsets
Authors:Ivan Rival  Nejib Zaguia
Affiliation:(1) Department of Mathematics, The University of Calgary, T2n 1N4 Calgary, Alberta, Canada
Abstract:A subset A of an ordered set P is a cutset if each maximal chain of P meets A; if, in addition, A is an antichain call it an antichain cutset. Our principal result is a characterization, by means of a lsquoforbidden configurationrsquo, of those finite ordered sets, which can be expressed as the union of antichain cutsets.
Keywords:06A10
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