N-FREE PLANAR ORDERED SETS THAT CONTAIN NO COVERING FOUR-CYCLE HAVE PAGENUMBER TWO

Mohammad Alzohairi

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N-FREE PLANAR ORDERED SETS THAT CONTAIN NO COVERING FOUR-CYCLE HAVE PAGENUMBER TWO

机译：N个免费的平面订购集，其中没有包含四个循环的页码为两个

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摘要

In this note we show that the pagenumber of an N-free planar lattice is at most two. We use that to show that the pagenumber of N-free planar ordered sets which contain no covering four-cycle is at most two.

机译：在此注释中，我们显示了无N平面格子的页数最多为2。我们用它来表明不包含覆盖四个周期的无N个平面有序集的页数最多为两个。

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来源
《Arabian Journal for Science and Engineering. Section A, Sciences》 |2006年第2a期|p.213-220|共8页
作者
Mohammad Alzohairi;
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作者单位

Department of Mathematics King Saud University P.O. Box 2455, Riyadh 11451, Saudi Arabia;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类自然科学总论;
关键词
pagenumber; N-free ordered set; planar lattice; left greedy linear extension;

机译：页数;无N有序集;平面格;左贪婪线性扩展;

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2. Covering planar sets [J] . Filimonov V.P. Sbornik. Mathematics . 2010,第7a8期

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N-FREE PLANAR ORDERED SETS THAT CONTAIN NO COVERING FOUR-CYCLE HAVE PAGENUMBER TWO

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