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On Turán’s theorem for sparse graphs

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Abstract

For a graphG withn vertices and average valencyt, Turán’s theorem yields the inequalityα≧n/(t+1) whereα denotes the maximum size of an independent set inG. We improve this bound for graphs containing no large cliques.

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References

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Authors and Affiliations

  1. Mathematical Institute of the Hungarian Academy of Sciences, H-1053, Budapest, Hungary

    M. Ajtai, P. Erdős, J. Komlós & E. Szemerédi

Authors
  1. M. Ajtai
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  2. P. Erdős
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  3. J. Komlós
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  4. E. Szemerédi
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Ajtai, M., Erdős, P., Komlós, J. et al. On Turán’s theorem for sparse graphs. Combinatorica 1, 313–317 (1981). https://doi.org/10.1007/BF02579451

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  • DOI: https://doi.org/10.1007/BF02579451

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