BERGE'S STRONG PERFECT GRAPH CONJECTURE
β Scribed by Alan C. Tucker
- Book ID
- 118717695
- Publisher
- John Wiley and Sons
- Year
- 1979
- Tongue
- English
- Weight
- 303 KB
- Volume
- 319
- Category
- Article
- ISSN
- 0890-6564
No coin nor oath required. For personal study only.
π 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
Sridharan, S., On the Berge's strong path partition conjecture, Discrete Mathematics 112 (1993) 289-293. It is proved that for every k-optimal path partition of a digraph in which each component contains at most one cycle, there exists a partial k-coloring which colors strongly every path of the pa
We will characterize all graphs that have the property that the graph and its complement are minimal even pair free. This characterization allows a new formulation of the Strong Perfect Graph Conjecture. The reader is assumed to be familiar with perfect graphs (see e.g. [2]). A hole is a cycle of l