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About: Alspach's conjecture     Goto   Sponge   NotDistinct   Permalink

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Alspach's conjecture is a mathematical theorem that characterizes the disjoint cycle covers of complete graphs with prescribed cycle lengths. It is named after Brian Alspach, who posed it as a research problem in 1981. A proof was published by Darryn Bryant, Daniel Horsley, and William Pettersson.