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Recent Results on the Average Time Behavior of Some Algorithms in Computational Geometry

In: Computer Science and Statistics: Proceedings of the 13th Symposium on the Interface

Author

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  • Luc Devroye

    (McGill University, The School of Computer Science)

Abstract

We give a brief inexhaustive survey of recent results that can be helpful in the average time analysis of algorithms in computational geometry. Most fast average time algorithms use one of three principles: bucketing, divide-and-conquer (merging), or quick elimination (throw-away). To illustrate the different points, the convex hull problem is taken as our prototype problem. We also discuss searching, sorting, finding the Voronoi diagram and the minimal spanning tree, identifying the set of maximal vextors, and determining the diameter of a set and the minimum covering sphere.

Suggested Citation

  • Luc Devroye, 1981. "Recent Results on the Average Time Behavior of Some Algorithms in Computational Geometry," Springer Books, in: William F. Eddy (ed.), Computer Science and Statistics: Proceedings of the 13th Symposium on the Interface, pages 76-82, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-9464-8_12
    DOI: 10.1007/978-1-4613-9464-8_12
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