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Approximation of coNP sets by NP-complete sets

  • Kazuo Iwama
  • Shuichi Miyazaki
Session 1A: Complexity Theory
  • 123 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 959)

Abstract

It is said that a set L1 in a class C1approximates a set L2 in a class C2 if L1 is a subset of L2. Approximation L1 is said to be optimal if there is no approximation L1 such that L1L1 and L1 - L1 is infinite. When C1=P and C2=NP, it is known that there is no optimal approximation under a quite general condition unless P=NP. In this paper we discuss the case where C1=the class of NP-complete sets and C2=coNP. A similar result as above that shows the difficulty of the optimal approximation is obtained. Approximating coNP sets by NP-complete sets play an important role in the efficient generation of test instances for combinatorial algorithms.

Keywords

Polynomial Time Optimal Approximation Single Vertex Combinatorial Algorithm Discrete Apply Mathematic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Kazuo Iwama
    • 1
  • Shuichi Miyazaki
    • 1
  1. 1.Department of Computer Science and Communication EngineeringKyushu UniversityFukuokaJapan

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