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Graph Classes: A Survey || 14. The Strong Perfect Graph Conjecture

✍ Scribed by Brandstädt, Andreas; Le, Van Bang; Spinrad, Jeremy P.


Book ID
124073531
Publisher
Society for Industrial and Applied Mathematics
Year
1999
Weight
175 KB
Category
Article
ISBN
0898719798

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📜 SIMILAR VOLUMES


On the strong perfect graph conjecture
✍ Stephan Olariu 📂 Article 📅 1988 🏛 John Wiley and Sons 🌐 English ⚖ 384 KB

A graph G is perfect if for every induced subgraph H of G the chromatic number x(H) equals the largest number w ( H ) of pairwise adjacent vertices in H. Berge's famous Strong Perfect Graph Conjecture asserts that a graph G is perfect if and only if neither G nor its complement C contains an odd cho

Split-Neighborhood Graphs and the Strong
✍ F. Maffray; M. Preissmann 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 649 KB

We introduce the class of graphs such that every induced subgraph possesses a vertex whose neighbourhood can be split into a clique and a stable set. We prove that this class satisfies Berge's strong perfect graph conjecture. This class contains several well-known classes of (perfect) graphs and is