Decompositions of complete graphs into isomorphic cubes |
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| Authors: | Anton Kotzig |
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| Affiliation: | Centre de Recherche de Mathématiques Appliquées, Université de Montréal, Montréal, Quebec H3C 3J7, Canada |
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| Abstract: | It is shown that, for any positive integer d, the d-dimensional cube Wd has an α-valuation. This implies that any complete graph K2cn+1 (where n = d2d-1 is the number of edges of Wd and c is an arbitrary positive integer) can be decomposed into edge disjoint copies of Wd. |
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