@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},
	}