On hamiltonicity of P 3-dominated graphs
نویسندگان
چکیده
We introduce a new class of graphs which we call P3-dominated graphs. This class properly contains all quasi-claw-free graphs, and hence all claw-free graphs. Let G be a 2-connected P3-dominated graph. We prove that G is hamiltonian if α(G) ≤ κ(G), with two exceptions: K2,3 and K1,1,3. We also prove that G is hamiltonian if G is 3-connected and |V (G)| ≤ 5δ(G) − 5. These results extend known results on (quasi-)claw-free graphs. Mathematical subject classifications: 05C45, 05C38
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ورودعنوان ژورنال:
- Math. Meth. of OR
دوره 69 شماره
صفحات -
تاریخ انتشار 2009