Some known results on claw-free (Kl,3-free) graphs are generalized to the larger class of almost claw-free graphs which were introduced by RyjaEek. In particular, w e show that a 2-connected almost claw-free graph is I-tough, and that a 2-connected almost claw-free graph on n vertices is hamiltonian
โฆ LIBER โฆ
Neighborhood intersections and Hamiltonicity in almost claw-free graphs
โ Scribed by Mingquan Zhan
- Book ID
- 108315620
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 171 KB
- Volume
- 243
- Category
- Article
- ISSN
- 0012-365X
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## Abstract We say that __G__ is almost clawโfree if the vertices that are centers of induced claws (__K__~1,3~) in __G__ are independent and their neighborhoods are 2โdominated. Clearly, every clawโfree graph is almost clawโfree. It is shown that (i) every even connected almost clawโfree graph has
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