Of Empty Economic Boxes
نویسندگان
چکیده
منابع مشابه
Those Empty Boxes
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We revisit the following problem (along with its higher dimensional variant): Given a set S of n points inside an axis-parallel rectangle U in the plane, find a maximum-area axis-parallel sub-rectangle that is contained in U but contains no points of S. (I) We prove that the number of maximum-area empty rectangles amidst n points in the plane is O(n log n 2), where α(n) is the extremely slowly ...
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We show that the expected number of maximal empty axis-parallel boxes amidst n random points in the unit hypercube [0, 1] in R is (1±o(1)) (2d−2)! (d−1)! n ln d−1 n, if d is fixed. This estimate is relevant for analyzing the performance of exact algorithms for computing the largest empty axis-parallel box amidst n given points in an axis-parallel box R, especially the algorithms that proceed by...
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We revisit the following problem (along with its higher dimensional variant): Given a set S of n points inside an axis-parallel rectangle U in the plane, find a maximum-area axis-parallel sub-rectangle that is contained in U but contains no points of S. 1. We prove that the number of maximum-area empty rectangles amidst n points in the plane is O(n logn 2α(n)), where α(n) is the extremely slowl...
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ژورنال
عنوان ژورنال: The Economic Journal
سال: 1922
ISSN: 0013-0133
DOI: 10.2307/2222943