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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 52-366
Full Name: Zu Li
Position: Professor
Age: ON
Sex: Male
Address: Department of Mathematics, Qiongzhou University, Sanya, Hainan, 572022, P.R.China;
Country: CHINA
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E-mail address: kwzqzu@yahoo.cn
Other E-mails: kewen@zhao.net.cn
Title of the Paper: Dirac type condition and Hamiltonian graphs
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Number of paper pages: 10
Abstract: In 1952 Dirac established a degree type condition and proved if G is a connected graph of order n¡Ý3 such that¦Ä(G)¡Ýn/2, then G is Hamiltonian. In this paper we prove that if G is a connected graph of order n¡Ý3 such that¦Ä(G)¡Ý(n-2)/2, then G is Hamiltonian or G belong to four classes of well-structured graphs. Thus, the result generalizes the above result.
Keywords: Dirac type condition; Sufficient condition; Hamiltonian graph.
EXTENSION of the file: .doc
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