Binding number and Hamiltonian(g, f)-factors in graphs
โ Scribed by Jiansheng Cai; Guizhen Liu
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 186 KB
- Volume
- 25
- Category
- Article
- ISSN
- 1598-5865
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let k โฅ 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 โฅ 2, n โฅ 8k -4, kn even and ฮด(G) โฅ n/2, then G has a hamiltonian k-factor.
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(