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On 4-connected claw-free well-covered graphs

✍ Scribed by Bert Hartnell; Michael D. Plummer


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
556 KB
Volume
64
Category
Article
ISSN
0166-218X

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## Abstract We show that if __G__ is a 4‐connected claw‐free graph in which every induced hourglass subgraph __S__ contains two non‐adjacent vertices with a common neighbor outside __S__, then __G__ is hamiltonian. This extends the fact that 4‐connected claw‐free, hourglass‐free graphs are hamilton