Meyniel weakly triangulated graphs — I: Co-perfect orderability
نویسندگان
چکیده
منابع مشابه
Meyniel Weakly Triangulated Graphs - I: Co-perfect Orderability
We show that Meyniel weakly triangulated graphs are co-perfectly orderable (equivalently , that P 5-free weakly triangulated graphs are perfectly orderable). Our proof is algorithmic, and relies on a notion concerning separating sets, a property of weakly triangulated graphs, and several properties of Meyniel weakly triangulated graphs.
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We generalize a theorem due to Dirac and show that every Meyniel weakly triangu-lated graph has some vertex which is not the middle vertex of any P 5. Our main tool is a separating set notion known as a handle.
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 1997
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(96)00008-x