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- W777081768 abstract "Sheehan conjectured in 1975 that every Hamiltonian regular simple graph of even degree at least four contains a second Hamiltonian cycle. We prove that most claw-free Hamiltonian graphs with minimum degree at least 3 have a second Hamiltonian cycle and describe the structure of those graphs not covered by our result. By this result, we show that Sheehan’s conjecture holds for claw-free graphs whose order is not divisible by 6. In addition, we believe that the structure that we introduce can be useful for further studies on claw-free graphs." @default.
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- W777081768 date "2015-05-04" @default.
- W777081768 modified "2023-09-24" @default.
- W777081768 title "Second Hamiltonian cycles in claw-free graphs" @default.
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- W777081768 doi "https://doi.org/10.20429/tag.2015.020102" @default.
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