The validity of the strong perfect-graph conjecture for (K4−e)-free graphs
✍ Scribed by K.R Parthasarathy; G Ravindra
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 205 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0095-8956
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📜 SIMILAR VOLUMES
The Strong Perfect Graph Conjecture states that a graph is perfect iff neither it nor its complement contains an odd chordless cycle of size greater than or equal to 5. In this article it is shown that many families of graphs are complete for this conjecture in the sense that the conjecture is true
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
The chromatic number x of a graph G is the minimum number of colors necessary to color the vertices of G such that no two adjacent vertices are colored alike. The clique number 01 of a graph G is the maximum number of vertices in a complete subgraph of G. A graph G is said to be perfect if x(H) =m(H