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Extreme distances in multicolored point sets.
| Content Provider | CiteSeerX |
|---|---|
| Author | Yz, Adrian Dumitrescu Dumitrescu, Adrian Guha, Sumanta |
| Abstract | Given a set of n colored points in some d-dimensional Euclidean space, a bichromatic closest (resp. farthest) pair is a closest (resp. farthest) pair of points of dierent colors. We present ecient algorithms to maintain both a bichromatic closest pair and a bichromatic farthest pair when the the points are xed but they dynamically change color. We do this by solving the more general problem of maintaining a bichromatic edge of minimum (resp. maximum) weight in an undirected weighted graph with colored vertices, when vertices dynamically change color. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Extreme Distance Multicolored Point Set Bichromatic Edge D-dimensional Euclidean Space Bichromatic Farthest Pair Colored Vertex Bichromatic Closest Dierent Color Undirected Weighted Graph Present Ecient Algorithm General Problem Bichromatic Closest Pair |
| Content Type | Text |