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Metric k-center : ウィキペディア英語版 | Metric k-center In graph theory, the metric ''k''-center or metric facility location problem is a combinatorial optimization problem studied in theoretical computer science. Given ''n'' cities with specified distances, one wants to build ''k'' warehouses in different cities and minimize the maximum distance of a city to a warehouse. In graph theory this means finding a set of ''k'' vertices for which the largest distance of any point to its closest vertex in the ''k''-set is minimum. The vertices must be in a metric space, or in other words a complete graph that satisfies the triangle inequality. ==Formal definition== Given a complete undirected graph ''G'' = (''V'', ''E'') with distances ''d''(''v''''i'', ''v''''j'') ∈ ''N'' satisfying the triangle inequality, find a subset ''S'' ⊆ ''V'' with |''S''| = ''k'' while minimizing: :
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Metric k-center」の詳細全文を読む
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