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Non dominated points : ウィキペディア英語版
Non dominated points

In computational complexity theory, the Non dominated points problem asks for the set of non-dominated points given a set of points, P. In 2-dimensions, a point p is said to be non-dominated in P if there is no point q \in P such that x(q) > x(p) and y(q) > y(p).
== Algorithms ==
Brute Force: Compare each point with others :O(n^2)
Further improvements:O(nh),O(nlogn),O(nlogh), where ℎ : no. of non-dominated points. O(nh) algorithm is just based on a simple observation that points with y coordinate less than the y-coordinate of highest x-coordinate point need not be considered. while O(nlogn),O(nlogh) solution uses divide and conquer paradigm.
Further extensions: Non-dominated points in k-dimensions, the 3-dimension version can be solved in O(nlogn) time.

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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