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|All Authors / Contributors:||
Richard M Karp; Rajeev Motwani; Prabhakar Raghavan
|Description:||30 pages : illustrations ; 28 cm.|
|Series Title:||University of California, Berkeley.; Computer Science Division.; Report|
|Responsibility:||Richard M. Karp, Rajeev Motwani, Prabhakar Raghavan.|
We develop the notion of deferred data structures by solving the problem of answering membership queries on an ordered set. We obtain a randomized algorithm which achieves asymptotically optimal performance with high probability. We then present optimal deferred data structures for the following problems in the plane: testing convex hull membership, half-plane intersection queries and fixed- constraint multi-objective linear programming. We also apply the deferred data structuring technique to multidimensional dominance query problems.