A localization inequality for set functions
نویسندگان
چکیده
منابع مشابه
A localization inequality for set functions
We prove the following theorem, which is an analog for discrete set functions of a geometric result of Lovász and Simonovits. Given two real-valued set functions f1, f2 defined on the subsets of a finite set S, satisfying ∑ X⊆S fi(X) 0 for i ∈ {1, 2}, there exists a positive multiplicative set function over S and two subsetsA,B ⊆ S such that for i ∈ {1, 2} (A)fi(A)+ (B)fi(B)+ (A∪B)fi(A∪ B) + (A...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2006
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2005.03.011