368. [K. b. β.] Median triangles
نویسندگان
چکیده
منابع مشابه
Outer Median Triangles
(a) The medians intersect in a point interior to the triangle, called the centroid, which divides each of the medians in the ratio 2 : 1. (b) The medians form a new triangle, called the median triangle. (c) The area of the median triangle is 3/4 of the area of the given triangle in which the medians were constructed. (d) The median triangle of the median triangle is similar to the given triangl...
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We extend randomized jumplists introduced by Brönnimann et al. [1] to choose jump-pointer targets as median of a small sample, and present randomized algorithms with expected O(logn) time complexity that maintain the probability distribution of jump pointers upon insertions and deletions. We analyze the expected costs to search, insert and delete a random element. The resulting data structure, ...
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We consider a generalization of k-median and k-center, called the ordered k-median problem. In this problem, we are given a metric space (D, {cij}) with n = |D| points, and a non-increasing weight vector w ∈ Rn+, and the goal is to open k centers and assign each point each point j ∈ D to a center so as to minimize w1 · (largest assignment cost) + w2 · (second-largest assignment cost) + . . . + ...
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An H -triangle is a triangle with corners in the set of vertices of a tiling of R2 by regular hexagons of unit edge. It is known that any H -triangle with exactly 1 interior H -point can have at most 10 H -points on its boundary. In this note we prove that any H -triangle with exactly k interior H -points can have at most 3k+7 boundary H -points. Moreover we form two conjectures dealing with H ...
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ژورنال
عنوان ژورنال: The Mathematical Gazette
سال: 1912
ISSN: 0025-5572,2056-6328
DOI: 10.2307/3604315