In this paper we show a number of natural geometric optimization problems in the plane to be complete for a class DP. The class Dp contains both NP and Co-NP and is contained in Δ2P=PNP. Completeness in Dp is exhibited under many-one and positive reductions. Further an OptP(O(log n)) result is also obtained for some of these optimization problems. © 1989 Springer-Verlag New York Inc.
CITATION STYLE
Bajaj, C., & Li, M. (1989). Geometric optimization and DP-completeness. Discrete & Computational Geometry, 4(1), 3–13. https://doi.org/10.1007/BF02187711
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