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Some graphs with chromatic number three
Authors:Jean A Larson
Institution:Department of Mathematics, University of Florida, Gainesville, Florida 32611 USA
Abstract:A question of P. Erdös is solved by showing that certain graphs have chromatic number at most three. The proof proceeds by showing a conjecture of Erdös and Bollobás holds, namely, that under certain circumstances, a graph which contains an odd circuit must contain an odd circuit with diagonal.
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