𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The strong perfect graph conjecture for toroifal graphs

✍ Scribed by Charles Grinstead


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
236 KB
Volume
30
Category
Article
ISSN
0095-8956

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Families of graphs complete for the stro
✍ D. G. Corneil πŸ“‚ Article πŸ“… 1986 πŸ› John Wiley and Sons 🌐 English βš– 381 KB πŸ‘ 1 views

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

On the strong perfect graph conjecture
✍ Stephan Olariu πŸ“‚ Article πŸ“… 1988 πŸ› John Wiley and Sons 🌐 English βš– 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 πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 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