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Dynamic half-space reporting, geometric optimization, and minimum spanning trees Export

Symposium on Foundations of Computer Science, Vol. 0 (1992), pp. 80-89.

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algorithms data_structure geometries

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The authors describe dynamic data structures for half-space range reporting and for maintaining the minima of a decomposable function. Using these data structures, they obtain efficient dynamic algorithms for a number of geometric problems, including closest/farthest neighbor searching, fixed dimension linear programming, bi-chromatic closest pair, diameter, and Euclidean minimum spanning tree.


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