关于偏序集相关联图的色数On chromatic number of associated graphs of partially ordered set
薛占军;刘三阳;
摘要(Abstract):
对于每一个含有最小元素0的偏序集(P,≤)可以得到一个与其关联的图G(P).本文主要通过代数的方法研究了所得关联图G(P)的性质,证明了如果G(P)的色数和团数是有限的,那么色数和团数都仅比P的极小素理想的个数大1.
关键词(KeyWords): 偏序集;色数;团数;理想
基金项目(Foundation): 国家自然科学基金(60974082);; 国家重点实验室综合业务网络基金(ISN02080003)
作者(Authors): 薛占军;刘三阳;
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