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  • 标题:Structure in Approximation Classes
  • 本地全文:下载
  • 作者:Pierluigi Crescenzi ; Viggo Kann ; Riccardo Silvestri
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:1996
  • 卷号:1996
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:The study of the approximability properties of NP-hard optimization problems has recently made great advances mainly due to the results obtained in the field of proof checking. In a recent breakthrough the APX-completeness of several important optimization problems is proved, thus reconciling `two distinct views of approximation classes: syntactic and computational'. In this paper we obtain new results on the structure of several computationally-defined approximation classes. In particular, after defining a new approximation preserving reducibility to be used for as many approximation classes as possible, we give the first examples of natural NPO-complete problems and the first examples of natural APX-intermediate problems. Moreover, we state new connections between the approximability properties and the query complexity of NPO problems.
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