Economical coverings of sets of lattice points
نویسندگان
چکیده
منابع مشابه
Economical coverings of sets of lattice points
Let t(n, d) be the minimum number t such that there are t of the n lattice points {(x1, . . . , xd) : 1 ≤ xi ≤ n} so that the ( t 2 ) lines that they determine cover all the above n lattice points. We prove that for every integer d ≥ 2 there are two positive constants c1 = c1(d) and c2 = c2(d) such that for every n c1n d(d−1)/(2d−1) ≤ t(n, d) ≤ c2n log n. The special case d = 2 settles a proble...
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ژورنال
عنوان ژورنال: Geometric and Functional Analysis
سال: 1991
ISSN: 1016-443X,1420-8970
DOI: 10.1007/bf01896202