@article{(Open Science Index):https://publications.waset.org/pdf/10536, title = {A Sufficient Condition for Graphs to Have Hamiltonian [a, b]-Factors}, author = {Sizhong Zhou}, country = {}, institution = {}, abstract = {Let a and b be nonnegative integers with 2 ≤ a < b, and let G be a Hamiltonian graph of order n with n ≥ (a+b−4)(a+b−2) b−2 . An [a, b]-factor F of G is called a Hamiltonian [a, b]-factor if F contains a Hamiltonian cycle. In this paper, it is proved that G has a Hamiltonian [a, b]-factor if |NG(X)| > (a−1)n+|X|−1 a+b−3 for every nonempty independent subset X of V (G) and δ(G) > (a−1)n+a+b−4 a+b−3 . }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {3}, number = {9}, year = {2009}, pages = {704 - 706}, ee = {https://publications.waset.org/pdf/10536}, url = {https://publications.waset.org/vol/33}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 33, 2009}, }