Geodesic
Dirac type condition and Hamiltonian graphs
Serdica Mathematical Journal, Tome 37 (2011) no. 4, pp. 277-282.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

In 1952, Dirac introduced the degree type condition and proved that if G is a connected graph of order n і 3 such that its minimum degree satisfies d(G) і n/2, then G is Hamiltonian. In this paper we investigate a further condition and prove that if G is a connected graph of order n і 3 such that d(G) і (n-2)/2, then G is Hamiltonian or G belongs to four classes of well-structured exceptional graphs.
Keywords: Type Condition, Sufficient Condition, Hamiltonian Graph 
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     author = {Zhao, Kewen},
     title = {Dirac type condition and {Hamiltonian} graphs},
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Zhao, Kewen. Dirac type condition and Hamiltonian graphs. Serdica Mathematical Journal, Tome 37 (2011) no. 4, pp. 277-282. http://geodesic.mathdoc.fr/item/SMJ2_2011_37_4_a0/