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Approximating Almost All Instances of Max-Cut Within a Ratio Above the Håstad Threshold

  • A. C. Kaporis
  • L. M. Kirousis
  • E. C. Stavropoulos
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4168)

Abstract

We give a deterministic polynomial-time algorithm which for any given average degree d and asymptotically almost all random graphs G in \(\mathcal G(n, m= \lfloor\frac{d}{2}n\rfloor)\) outputs a cut of G whose ratio (in cardinality) with the maximum cut is at least 0.952. We remind the reader that it is known that unless P=NP, for no constant ε>0 is there a Max-Cut approximation algorithm that for all inputs achieves an approximation ratio of (16/17) +ε (16/17 < 0.94118).

Keywords

Random Graph Average Degree Approximation Ratio Deterministic Algorithm Degree Sequence 
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 2006

Authors and Affiliations

  • A. C. Kaporis
    • 1
  • L. M. Kirousis
    • 1
    • 2
  • E. C. Stavropoulos
    • 1
  1. 1.Department of Computer Engineering and InformaticsUniversity of PatrasPatrasGreece
  2. 2.Research Academic Computer Technology InstitutePatrasGreece

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