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Decomposing the complete graph into dodecahedra
Authors:P. AdamsD.E. Bryant  A.D. ForbesT.S. Griggs
Affiliation:a Department of Mathematics, University of Queensland, QLD 4072, Australia
b Department of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes MK7 6AA, United Kingdom
Abstract:We prove that the complete graph Kv can be decomposed into dodecahedra if and only if v≡ 1, 16, 25 or 40 (mod 60), v≠16.
Keywords:Graph decomposition   Dodecahedron
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