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Hamilton cycles in highly connected and expanding graphs

✍ Scribed by Dan Hefetz; Michael Krivelevich; Tibor Szabó


Book ID
106167725
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
584 KB
Volume
29
Category
Article
ISSN
0209-9683

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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