Two Hamiltonian cycles (Q2113347)

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Two Hamiltonian cycles
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    Two Hamiltonian cycles (English)
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    14 March 2022
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    The authors prove that if the line graph of a simple graph \(G\) is decomposable into two Hamiltonian cycles, then \(G\) is either \(K_{1,5}\), or the first subdivision of a 4-regular graph that decomposes into two Hamiltonian cycles, or a Hamiltonian cubic graph.
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    Hamilton decomposition
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    line graph
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