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Cycle decompositions of \(K_n\) and \(K_n-I\). (English) Zbl 1023.05112

J. Comb. Theory, Ser. B 81, No. 1, 77-99 (2001); corrigendum ibid. 146, 532-533 (2021).
Summary: We establish necessary and sufficient conditions for decomposing the complete graph of even order minus a \(1\)-factor into even cycles and the complete graph of odd order into odd cycles.

MSC:

05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)
05C38 Paths and cycles
05B30 Other designs, configurations

Keywords:

complete graph
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References:

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