Approximating almost all instances of MAX-CUT within a ratio above the håstad threshold

A. C. Kaporis, L. M. Kirousis, E. C. Stavropoulos

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We give a deterministic polynomial-time algorithm which for any given average degree d and asymptotically almost all random graphs G in g(n, m = [d/2n]) 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 e > 0 is there a MAX-CUT approximation algorithm that for all inputs achieves an approximation ratio of (16/17) + ε (16/17 < 0.94118).

Original languageEnglish (US)
Title of host publicationAlgorithms, ESA 2006 - 14th Annual European Symposium, Proceedings
PublisherSpringer Verlag
Pages432-443
Number of pages12
ISBN (Print)3540388753, 9783540388753
DOIs
StatePublished - 2006
Event14th Annual European Symposium on Algorithms, ESA 2006 - Zurich, Switzerland
Duration: Sep 11 2006Sep 13 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4168 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other14th Annual European Symposium on Algorithms, ESA 2006
Country/TerritorySwitzerland
CityZurich
Period9/11/069/13/06

ASJC Scopus subject areas

  • Theoretical Computer Science
  • General Computer Science

Fingerprint

Dive into the research topics of 'Approximating almost all instances of MAX-CUT within a ratio above the håstad threshold'. Together they form a unique fingerprint.

Cite this