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    Blue-empty Graph

    Alternate name
    Definition

    An extremal graph in which the forced triangles are all the same color. Call R the number of red monochromatic forced triangles and B the number of blue monochromatic forced triangles, then a blue-empty graph is an extremal graph with B = 0. For even n, a blue-empty graph can be achieved by coloring red two complete subgraphs of n/2 points (the red net method). There is no blue-empty coloring for odd n except for n = 7.

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