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claw-free graph; 2-factor; closure; locally disconnected vertex; singular edge

References:

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[12] Ryjáček, Z., Saito, A., Schelp, R. H.: **Closure, 2-factors and cycle coverings in claw-free graphs**. J. Graph Theory 32 (1999), 109-117. DOI 10.1002/(SICI)1097-0118(199910)32:2<109::AID-JGT1>3.0.CO;2-O | MR 1709653 | Zbl 0932.05045

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[14] Tian, R., Xiong, L.: **Hamiltonian claw-free graphs with locally disconnected vertices**. (to appear) in Discrete Math. DOI:10.1016/j.disc.2015.04.020. DOI 10.1016/j.disc.2015.04.020

[15] Yoshimoto, K.: **On the number of components in 2-factors of claw-free graphs**. Discrete Math. 307 (2007), 2808-2819. DOI 10.1016/j.disc.2006.11.022 | MR 2362964 | Zbl 1129.05037