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Geometric optimization and \(D^ P\)-completeness

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Publication:1106665
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DOI10.1007/BF02187711zbMath0651.68055OpenAlexW2210827803MaRDI QIDQ1106665

Ming Li, Chanderjit L. Bajaj

Publication date: 1989

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131060

zbMATH Keywords

polynomial hierarchygeometric optimization\(D^ P\)-completenesscomplexity of optimization problems


Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25)


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Cites Work

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  • The complexity of facets (and some facets of complexity)
  • The algebraic degree of geometric optimization problems
  • Optimization problems and the polynomial hierarchy
  • Optimal packing and covering in the plane are NP-complete
  • A comparison of polynomial time reducibilities
  • Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variational Inequalities
  • Second Order Sufficiency Criteria for a Discrete Optimal Control Problem
  • On the Complexity of Some Common Geometric Location Problems
  • On the complexity of unique solutions
  • Analogues of semirecursive sets and effective reducibilities to the study of NP complexity
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