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- W1971996187 abstract "A typical problem in extremal combinatorics is the following. Given a large number n and a set L, find the maximum cardinality of a family of subsets of a ground set of n elements such that the intersection of any two subsets has cardinality in L. We investigate the generalization of this problem, where intersections of more than 2 subsets are considered. In particular, we prove that when k−1 is a power of 2, the size of the extremal k-wise oddtown family is (k−1)(n− 2log2(k−1)). Tight bounds are also found in several other basic cases." @default.
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- W1971996187 date "2005-06-01" @default.
- W1971996187 modified "2023-09-22" @default.
- W1971996187 title "Exact k-Wise Intersection Theorems" @default.
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- W1971996187 doi "https://doi.org/10.1007/s00373-005-0609-0" @default.
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