Decompositions of complete graphs into regular bichromatic factors |
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Authors: | Anton Kotzig |
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Affiliation: | Centre de recherches mathématiques, Université de Montréal, Montréal 101, P.Q., Canada |
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Abstract: | The proof of the following theorem is given: A complete graph with n vertices can be decomposed into r regular bichromatic factors if and only if n is even and greater than 4 and there exists a natural number k with the properties that k ≤ r and 2k ? 1 < n ≤ 2k. |
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