Hardness of finding independent sets in almost 3-colorable graphs

Irit Dinur, Subhash Khot, Will Perkins, Muli Safra

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

For every ∈ > 0, and integer q ≥ 3, we show that given an N-vertex graph that has an induced q-colorable subgraph of size (1-∈)N, it is NP-hard to find an independent set of size N/q2.

Original languageEnglish
Title of host publicationProceedings - 2010 IEEE 51st Annual Symposium on Foundations of Computer Science, FOCS 2010
PublisherIEEE Computer Society
Pages212-221
Number of pages10
ISBN (Print)9780769542447
DOIs
StatePublished - 2010
Event2010 IEEE 51st Annual Symposium on Foundations of Computer Science, FOCS 2010 - Las Vegas, NV, United States
Duration: 23 Oct 201026 Oct 2010

Publication series

NameProceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
ISSN (Print)0272-5428

Conference

Conference2010 IEEE 51st Annual Symposium on Foundations of Computer Science, FOCS 2010
Country/TerritoryUnited States
CityLas Vegas, NV
Period23/10/1026/10/10

Keywords

  • Graph coloring
  • Hardness of approximation
  • PCPs

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