Critical perfect graphs and perfect 3-chromatic graphs |
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Authors: | Alan Tucker |
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Affiliation: | Department of Applied Mathematics and Statistics, SUNY at Stony Brook, Stony Brook, New York 11794 USA |
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Abstract: | This paper builds on results based on D. R. Fulkerson's antiblocking polyhedra approach to perfect graphs to obtain information about critical perfect graphs and related clique-generated graphs. Then we prove that Berge's Strong Perfect Graph Conjecture is valid for 3-chromatic graphs. |
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