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关于一类三交系的构造

A Way of Forming a Type of 3-intersecting System of Sets

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【作者】 黄光鑫

【Author】 HUANG Guang-xing (The Mathematics and Commputer Science Department, Chongqing Normal University, Chongqing 400047)

【机构】 重庆师范学院数学与计算机科学系!重庆市400047

【摘要】 本文首先定义了三交系、三交系的扩充的概念 ,然后给出了一类三交系的构造方法 ,最后给出了该类三交系的规模的统一公式表示。同时 ,我们得到了一类特殊的三交系判定的充分必要条件

【Abstract】 Denote X={1,2,...,n}, n≥1. In this article, a 3-intersecting system of sets of X and the extension of a 3-intersecting system of sets are firstly defined. Then we give a method on how to extend a type of 3-intersecting system of sets. At last, we get a general formulation of the modulus of the 3-intersecting system of sets. As the by-production, we get the necessary and sufficient condition of a special type of 3-intersecting systems of sets of X.

  • 【文献出处】 重庆师专学报 ,Journal of Chongqing Teachers College , 编辑部邮箱 ,2001年03期
  • 【分类号】O157
  • 【下载频次】7
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