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- W4287558340 abstract "It is proved that if a graph is regular of even degree and contains a Hamilton cycle, or regular of odd degree and contains a Hamiltonian $3$-factor, then its line graph is Hamilton decomposable. This result partially extends Kotzig's result that a $3$-regular graph is Hamiltonian if and only if its line graph is Hamilton decomposable, and proves the conjecture of Bermond that the line graph of a Hamilton decomposable graph is Hamilton decomposable." @default.
- W4287558340 created "2022-07-25" @default.
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- W4287558340 date "2020-12-02" @default.
- W4287558340 modified "2023-09-25" @default.
- W4287558340 title "Hamilton decompositions of line graphs" @default.
- W4287558340 doi "https://doi.org/10.48550/arxiv.2012.00988" @default.
- W4287558340 hasPublicationYear "2020" @default.
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