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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, . In 2-dimensions, a point is said to be non-dominated in if there is no point such that and . == 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.
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