Forbidden subgraphs, hamiltonicity and closure in claw-free graphs
نویسندگان
چکیده
We study the stability of some classes of graphs deened in terms of forbidden sub-graphs under the closure operation introduced by the second author. Using these results, we prove that every 2-connected claw-free and P 7-free, or claw-free and Z 4-free, or claw-free and eiiel-free graph is either hamiltonian or belongs to a certain class of exceptions (all of them having connectivity 2).
منابع مشابه
Forbidden subgraphs, stability and hamiltonicity
We study the stability of some classes of claw-free graphs deened in terms of forbidden subgraphs under the closure operation deened in 10]. We characterize all connected graphs A such that the class of all CA-free graphs (where C denotes the claw) is stable. Using this result, we prove that every 2-connected and CHP 8-free, CHZ 5-free or CHN 1;1;4-free graph is either hamiltonian or belongs to...
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 196 شماره
صفحات -
تاریخ انتشار 1999