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Coloring Random 3-Colorable Graphs with Non-uniform Edge Probabilities

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bl_cr3cg_06.pdf
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2006

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KRÁLOVIČ, Rastislav, ed., Paweł URZYCZYN, ed.. Mathematical Foundations of Computer Science 2006. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006, pp. 202-213. Lecture Notes in Computer Science. 4162. ISBN 978-3-540-37791-7. Available under: doi: 10.1007/11821069_18

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Random 3-colorable graphs that are generated according to a G(n, p)-like model can be colored optimally, if p ≥ c/n for some large constant c. However, these methods fail in a model where the edgeprobabilities are non-uniform and not bounded away from zero. We present a spectral algorithm that succeeds in such situations.

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ISO 690BRANDES, Ulrik, Jürgen LERNER, 2006. Coloring Random 3-Colorable Graphs with Non-uniform Edge Probabilities. In: KRÁLOVIČ, Rastislav, ed., Paweł URZYCZYN, ed.. Mathematical Foundations of Computer Science 2006. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006, pp. 202-213. Lecture Notes in Computer Science. 4162. ISBN 978-3-540-37791-7. Available under: doi: 10.1007/11821069_18
BibTex
@inproceedings{Brandes2006Color-5918,
  year={2006},
  doi={10.1007/11821069_18},
  title={Coloring Random 3-Colorable Graphs with Non-uniform Edge Probabilities},
  number={4162},
  isbn={978-3-540-37791-7},
  publisher={Springer Berlin Heidelberg},
  address={Berlin, Heidelberg},
  series={Lecture Notes in Computer Science},
  booktitle={Mathematical Foundations of Computer Science 2006},
  pages={202--213},
  editor={Královič, Rastislav and Urzyczyn, Paweł},
  author={Brandes, Ulrik and Lerner, Jürgen}
}
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