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A note on perfect graphs

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Abstract

Let the lines of a complete graph be 3-colored so that no triangle gets 3 different colors. If two of these colors form perfect graphs then so does the third.

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References

  1. T. Gallai, Transitiv orientierbare Graphen,Acta Math. Acad. Sci. Hungar. 18 (1967), 25–66.MR 36: 5026

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  2. L. Lovász, Normal hypergraphs and the perfect graph conjecture,Discrete Math. 2 (1972), 253–267.MR 46: 1624

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  3. E. Olaru, Über kritisch imperfekte Graphen und die starke Vermutung der perfekten Graphen,XVIII. Internationales Wissenschaftliches Kolloquium, Technische Hochschule Ilmenau, 1973; Heft 2, 19–22.Zbl 282: 05111

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Cameron, K., Edmonds, J. & Lovász, L. A note on perfect graphs. Period Math Hung 17, 173–175 (1986). https://doi.org/10.1007/BF01848646

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  • DOI: https://doi.org/10.1007/BF01848646

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