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Meyniel weakly triangulated graphs II: A theorem of Dirac

https://doi.org/10.1016/S0166-218X(97)00058-9Get rights and content
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Abstract

We generalize a theorem due to Dirac and show that every Meyniel weakly triangulated graph has some vertex which is not the middle vertex of any P5. Our main tool is a separating set notion known as a handle.

Keywords

Weakly triangulated graph
Meyniel graph
Handle

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This research was supported by NSERC Operating Grant OGP-0137764.