%0 Journal Article
%T Degree conditions restricted to induced paths for hamiltonicity of claw-heavy graphs
%A Binlong Li
%A Bo Ning
%A Shenggui Zhang
%J Mathematics
%D 2015
%I arXiv
%X Broersma and Veldman proved that every 2-connected claw-free and $P_6$-free graph is hamiltonian. Chen et al. extended this result by proving every 2-connected claw-heavy and $P_6$-free graph is hamiltonian. On the other hand, Li et al. constructed a class of 2-connected graphs which are claw-heavy and $P_6$-\emph{o}-heavy but not hamiltonian. In this paper we further give some Ore-type degree conditions restricting to induced $P_6$'s of a 2-connected claw-heavy graph that can guarantee the graph to be hamiltonian. This improves some previous related results.
%U http://arxiv.org/abs/1506.05540v1