Independence, clique size and maximum degree

Abstract

It was shown before that ifG is a graph of maximum degreep containing no cliques of the sizeq then the independence ratio is greater than or equal to 2 / (p +q). We shall discuss here some extreme cases of this inequality.

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References

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Dedicated to Paul Erdős on his seventieth birthday

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Fajtlowicz, S. Independence, clique size and maximum degree. Combinatorica 4, 35–38 (1984). https://doi.org/10.1007/BF02579154

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AMS subject classification (1980)

  • 05 C 35