Constructing Large Set Systems with Given Intersection Sizes Modulo Composite Numbers
نویسندگان
چکیده
منابع مشابه
Constructing Large Set Systems With Given Intersection Sizes Modulo Composite Numbers
We consider k-uniform set systems over a universe of size n such that the size of each pairwise intersection of sets lies in one of s residue classes mod q, but k does not lie in any of these s classes. A celebrated theorem of Frankl and Wilson [8] states that any such set system has size at most n s when q is prime. In a remarkable recent paper, Grolmusz [9] constructed set systems of superpol...
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ژورنال
عنوان ژورنال: Combinatorics, Probability and Computing
سال: 2002
ISSN: 0963-5483,1469-2163
DOI: 10.1017/s0963548302005242