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Decomposing the complete graph into dodecahedra |
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| Authors: | P AdamsDE Bryant AD ForbesTS Griggs |
| Institution: | 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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