In 1961, Claude Berge proposed the “strong perfect graph conjecture”, probably the most beautiful open question in graph theory. It was answered just before his death in 2002. This is an overview of the solution, together with an account of some of the ideas that eventually brought us to the answer
SIGLECNRS RS 17660 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
AbstractIn this paper we prove the validity of the Strong Perfect Graph Conjecture for some classes ...
The partition number θ of a graph G is the minimum number of cliques which cover the points of G. Th...
In 1961, Claude Berge proposed the \strong perfect graph conjecture", probably the most beautif...
Perfect graphs were defined by Claude Berge in the 1960s. They are important objects for graph theor...
The Strong Perfect Graph Conjecture of Claude Berge is now nearly 25 years old. Efforts to resolve t...
AbstractPerfect Graphs were defined by Claude Berge in 1961. Since that time this class of graphs ha...
AbstractThe Strong Perfect Graph Conjecture (SPGC) was certainly one of the most challenging conject...
International audienceThe Strong Perfect Graph Conjecture (SPGC) was certainly one of the most chall...
AbstractA graph G is perfect if for every induced subgraph F of G, the chromatic number χ(F) equals ...
Robertson, Seymour and Thomas in a paper of 146 pages long (see [1]); in this manuscript, via an ori...
A graph G is perfect if for every induced subgraph F of G, the chromatic number χ(F) equals the larg...
AbstractThis paper builds on results based on D. R. Fulkerson's antiblocking polyhedra approach to p...
AbstractA graph is perfect if for each of its induced subgraphs H, the chromatic number of H is equa...
The partition number θ of a graph G is the minimum number of cliques which cover the points of ...
SIGLECNRS RS 17660 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
AbstractIn this paper we prove the validity of the Strong Perfect Graph Conjecture for some classes ...
The partition number θ of a graph G is the minimum number of cliques which cover the points of G. Th...
In 1961, Claude Berge proposed the \strong perfect graph conjecture", probably the most beautif...
Perfect graphs were defined by Claude Berge in the 1960s. They are important objects for graph theor...
The Strong Perfect Graph Conjecture of Claude Berge is now nearly 25 years old. Efforts to resolve t...
AbstractPerfect Graphs were defined by Claude Berge in 1961. Since that time this class of graphs ha...
AbstractThe Strong Perfect Graph Conjecture (SPGC) was certainly one of the most challenging conject...
International audienceThe Strong Perfect Graph Conjecture (SPGC) was certainly one of the most chall...
AbstractA graph G is perfect if for every induced subgraph F of G, the chromatic number χ(F) equals ...
Robertson, Seymour and Thomas in a paper of 146 pages long (see [1]); in this manuscript, via an ori...
A graph G is perfect if for every induced subgraph F of G, the chromatic number χ(F) equals the larg...
AbstractThis paper builds on results based on D. R. Fulkerson's antiblocking polyhedra approach to p...
AbstractA graph is perfect if for each of its induced subgraphs H, the chromatic number of H is equa...
The partition number θ of a graph G is the minimum number of cliques which cover the points of ...
SIGLECNRS RS 17660 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc
AbstractIn this paper we prove the validity of the Strong Perfect Graph Conjecture for some classes ...
The partition number θ of a graph G is the minimum number of cliques which cover the points of G. Th...