The length,the width and the cutset-number of finite ordered sets |
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Authors: | Mohamed El-Zahar Norbert Sauer |
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Institution: | (1) Department of Mathematics and Statistics, The University of Calgary, T2N 1N4 Calgary, Alberta, Canada |
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Abstract: | The partially ordered set P is an ( , , ) ordered set if the width of P![ge](/content/uj305ur08552813h/xxlarge8805.gif) , the length of any chain of P![le](/content/uj305ur08552813h/xxlarge8804.gif) and the cut-set number ![le](/content/uj305ur08552813h/xxlarge8804.gif) . We will prove that if P is an ( , , ) ordered set then P contains a simple ( , , ) ordered set and use this result to prove that if P has the 3 cutset property, then width of P length of P+3. |
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Keywords: | 06A10 |
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