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Strong perfect graph theorem

Known as: Strong perfect graph conjecture 
In graph theory, the strong perfect graph theorem is a forbidden graph characterization of the perfect graphs as being exactly the graphs that have… Expand
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Highly Cited
2016
Highly Cited
2016
In 1960 Berge came up with the concept of perfect graphs, and in doing so, conjectured some characteristics about them. A perfect… Expand
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Highly Cited
2005
Highly Cited
2005
A graph is Berge if no induced subgraph of G is an odd cycle of length at least five or the complement of one. In this paper we… Expand
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2003
2003
 
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2002
2002
A graph is perfect if, in all its induced subgraphs, the size of a largest clique is equal to the chromatic number. Examples of… Expand
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1989
1989
Abstract A graph G is perfect if for every induced subgraph F of G , the chromatic number χ ( F ) equals the largest number ω ( F… Expand
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1987
1987
Abstract Perfect Graphs were defined by Claude Berge in 1961. Since that time this class of graphs has been intensely studied… Expand
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1987
1987
  • Alan Tucker
  • J. Comb. Theory, Ser. B
  • 1987
  • Corpus ID: 35679613
Abstract This note proves the Strong Perfect Graph Conjecture for ( K 4 − e )-free graphs from first principles. The proof… Expand
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1986
1986
We present a distributed protocol for achieving a distributed coin in the presence of an extremely powerful adversary in constant… Expand
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1979
1979
Abstract When α, ω are positive integers, we set n = αω + 1 and look for zero-one matrices X, Y of size n × n such that XY= YX… Expand
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Highly Cited
1974
Highly Cited
1974
A zero–one matrix is called perfect if the polytope of the associated set packing problem has integral vertices only. By this… Expand
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