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・ Metric Arts
・ Metric Commission
・ Metric connection
・ Metric conversion
・ Metric Conversion Act
・ Metric derivative
・ Metric differential
・ Metric dimension
・ Metric dimension (graph theory)
・ Metric discography
・ Metric engine (American expression)
・ Metric expansion of space
・ Metric foot
・ Metric gauge
・ Metric Hosiery Company
Metric k-center
・ Metric map
・ Metric Martyrs
・ Metric mile
・ Metric modulation
・ Metric outer measure
・ Metric Pixel Canvas
・ Metric prefix
・ Metric signature
・ Metric space
・ Metric space aimed at its subspace
・ Metric Structures for Riemannian and Non-Riemannian Spaces
・ Metric system
・ Metric tensor
・ Metric tensor (general relativity)


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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:
: \max_ \min_ d(v,s)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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