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Transactions ID Number: 52-353
Full Name: kewen zzhao
Position: Professor
Age: ON
Sex: Male
Address: qiongzhou university, Sanya,Hainan
Country: CHINA
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E-mail address: kwzqzu@yahoo.cn
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Title of the Paper: 2-connected claw-free graphs and neighborhood conditions
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Number of paper pages: 10
Abstract: For a claw-free graph G, in 1988 Faudree et al. conjectured that if G is a 3-connected claw-free graph of order n and NC¡Ý(2n-6), then G is Hamiltonian graph. In this paper we consider the 2-connected graphs that is better than 3-connected graphs and prove that if G is a 2-connected claw-free graph of order n and NC¡Ý(2n-7), then G is Hamiltonian graph or G belongs to one of three specified families of well characterized graphs.
Keywords: 2-connected graphs; Claw-free graphs; Hamiltonian graphs; Neighborhood union conditions; Conjecture.
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