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Some APX-completeness results for cubic graphs
KTH, Superseded Departments, Numerical Analysis and Computer Science, NADA.ORCID iD: 0000-0003-3199-8953
2000 (English)In: Theoretical Computer Science, ISSN 0304-3975, E-ISSN 1879-2294, Vol. 237, no 2-Jan, 123-134 p.Article in journal (Refereed) Published
Abstract [en]

Four fundamental graph problems, Minimum vertex cover, Maximum independent set, Minimum dominating set and Maximum cut, are shown to be APX-complete even for cubic graphs. Therefore, unless P = NP, these problems do not admit any polynomial time approximation scheme on input graphs of degree bounded by three.

Place, publisher, year, edition, pages
2000. Vol. 237, no 2-Jan, 123-134 p.
Keyword [en]
computational complexity, NP-hard optimization problems, approximation, APX-completeness, cubic graphs, approximation classes, complexity
Identifiers
URN: urn:nbn:se:kth:diva-19747ISI: 000086979300006OAI: oai:DiVA.org:kth-19747DiVA: diva2:338439
Note
QC 20100525Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2017-12-12Bibliographically approved

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Kann, Viggo

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