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
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
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