首页 | 本学科首页   官方微博 | 高级检索  
     

NON-EMPTY CROSS-2-INTERSECTING FAMILIES OF SUBSETS
引用本文:巫世权. NON-EMPTY CROSS-2-INTERSECTING FAMILIES OF SUBSETS[J]. 高校应用数学学报(英文版), 1993, 8(2): 175-181. DOI: 10.1007/BF02662001
作者姓名:巫世权
作者单位:CenterforMathematicalSciences,ZhejingUniversity,Hangzhou310027
摘    要:Let Cdenote the set of all k-subests of an n-set.Assume Alohtain in Ca,and A lohtain in (A,B) is called a cross-2-intersecting family if |A B≥2 for and A∈A,B∈B.In this paper,the best upper bounds of the cardinalities for non-empty cross-2-intersecting familles of a-and b-subsets are obtained for some a and b,A new proof for a Frankl-Tokushige theorem[6] is also given.

关 键 词:交叉族 子集 有限集 非空集 实变函数
收稿时间:1993-05-13

Non-empty cross-2-intersecting families of subsets
Wu Shiquan. Non-empty cross-2-intersecting families of subsets[J]. Applied Mathematics A Journal of Chinese Universities, 1993, 8(2): 175-181. DOI: 10.1007/BF02662001
Authors:Wu Shiquan
Affiliation:(1) Center for Mathematical Sciences, Zhejing University, 310027 Hangzhou
Abstract:LetC n k denote the set of allk-subsets of ann-set. AssumeAC n a and ℬ ⊆C n b . (A, ℬ) is called a cross-2-intersecting family if |A∩B|≥2 for anyA ∈ A,B ∈ ℬ. In this paper, the best upper bounds of the cardinalities for non-empty cross-2-intersecting families ofa- andb- subsets are obtained for somea andb. A new proof for a Frankl-Tokushige theorem [6] is also given. Suppored by Postdoctral Fellowship Foundation of China.
Keywords:Intersecting Family of Subsets   Cross-intersecting Family of Subsets   Cross-2-intersecting Family of Subsets.
本文献已被 CNKI 维普 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号