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arxiv: 1605.00818 · v1 · pith:BYLOEJZ2new · submitted 2016-05-03 · 🧮 math.CO

Further results on the Hamilton-Waterloo problem

classification 🧮 math.CO
keywords almostcyclehamilton-waterlooproblemresolvablecombinatorialcompletelyexistence
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In this paper, we almost completely solve the existence of an almost resolvable cycle system with odd cycle length. We also use almost resolvable cycle systems as well as other combinatorial structures to give some new solutions to the Hamilton-Waterloo problem.

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