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The length,the width and the cutset-number of finite ordered sets
Authors:Mohamed El-Zahar  Norbert Sauer
Institution:(1) Department of Mathematics and Statistics, The University of Calgary, T2N 1N4 Calgary, Alberta, Canada
Abstract:The partially ordered set P is an (agr, beta, gamma) ordered set if the width of Pgeagr, the length of any chain of Plebeta and the cut-set number legamma. We will prove that if P is an (agr, beta, gamma) ordered set then P contains a lsquosimplersquo (agr, beta, gamma) ordered set and use this result to prove that if P has the 3 cutset property, then width of P le length of P+3.
Keywords:06A10
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