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Transactions ID Number: 52-346
Full Name: Zu Li
Position: Professor
Age: ON
Sex: Male
Address: qiongzhou university, Sanya,Hainan
Country: CHINA
Tel: 0086-0898-86635552
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E-mail address: kewen@zhao.net.cn
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Title of the Paper: Distance of vertices pair for Neighborhood unions and Hamiltonian-connected graphs
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Number of paper pages: 10
Abstract: In 1989 Faudree et al. considerd 3-connected graphs and proved that if G is a 3-connected graph of order n and NC¡Ý(2n+1)/3, then G is Hamiltonian-connected graph. In this paper we prove that if G is a 3-connected graph of order n and NC(2)¡Ý2n/3, then G is Hamiltonian-connected graph. This improve the above result.
Keywords: Hamiltonian-connected graphs; Neighborhood unions condition.
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