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Binding number and Hamiltonian(g, f)-factors in graphs

โœ Scribed by Jiansheng Cai; Guizhen Liu


Publisher
Springer-Verlag
Year
2007
Tongue
English
Weight
186 KB
Volume
25
Category
Article
ISSN
1598-5865

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Let k โ‰ฅ 2 be an integer. A k-factor F of a graph G is called a hamiltonian k-factor if F contains a hamiltonian cycle. In this paper, we shall prove that if G is a graph of order n with k โ‰ฅ 2, n โ‰ฅ 8k -4, kn even and ฮด(G) โ‰ฅ n/2, then G has a hamiltonian k-factor.

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LetGbeagraphandletF={F,,F,,..., F,,,} and H be a factorization and a subgraph of G, respectively. If H has exactly one edge in common with Fi for all i, 1 < i < m, then we say that F is orthogonal to H. Let g andf be two integer-valued functions defined on V(G) such that g(x) < f(x) for every x E V(

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