Cyclic hamiltonian cycle systems of the complete graph minus a 1-factor |
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| Authors: | Heather Jordon |
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| Institution: | a Department of Mathematics, Illinois State University, Campus Box 4520, Normal, IL 61790-4520, USA
b Department of Mathematics and Computer Science, University of Lethbridge, Lethbridge, Alta., Canada T1K 3M4 |
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| Abstract: | In this paper, we prove that cyclic hamiltonian cycle systems of the complete graph minus a 1-factor, Kn-I, exist if and only if  and n≠2pα with p an odd prime and α?1. |
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| Keywords: | Decomposition Hamiltonian cycle Complete graph |
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