Specified intersections

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چکیده

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Specified Intersections

Let M ⊂ [n] := {0, . . . , n} and A be a family of subsets of an n element set such that |A∩B| ∈M for every A,B ∈ A. Suppose that l is the maximum number of consecutive integers contained in M and n is sufficiently large. Then |A| < min{1.62210 , 2 log 2 }. The first bound complements the previous bound of roughly (1.99)n due to Frankl and the second author [9] proved under the assumption that ...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2013

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-2013-05877-1