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Hamiltonicity and Minimum Degree in 3-connected Claw-Free Graphs

✍ Scribed by Odile Favaron; Pierre Fraisse

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
112 KB
Volume
82
Category
Article
ISSN
0095-8956

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✦ Synopsis

Using Ryja c ek's closure, we prove that any 3-connected claw-free graph of order & and minimum degree $ &+38 10 is hamiltonian. This improves a theorem of Kuipers and Veldman who got the same result with the stronger hypotheses $ &+29 8 and & sufficiently large and nearly proves their conjecture saying that the result holds as soon as $ &+6 10 for & sufficiently large.

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