Graphical properties related to minimal imperfection
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Publication:1132889
DOI10.1016/0012-365X(79)90065-7zbMath0421.05028MaRDI QIDQ1132889
Publication date: 1979
Published in: Discrete Mathematics (Search for Journal in Brave)
Integer programming (90C10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Coloring of graphs and hypergraphs (05C15)
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Cites Work
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- The strong perfect-graph conjecture is true for \(K_{1,3}\)-free graphs
- A class of facet producing graphs for vertex packing polyhedra
- Almost integral polyhedra related to certain combinatorial optimization problems
- Critical perfect graphs and perfect 3-chromatic graphs
- On the perfect graph conjecture
- On certain polytopes associated with graphs
- The history of the perfect graphs
- Anti-blocking polyhedra
- A characterization of perfect graphs
- Normal hypergraphs and the perfect graph conjecture
- Coloring a Family of Circular Arcs
- Line perfect graphs
- Perfect zero–one matrices
- The Strong Perfect Graph Conjecture for Planar Graphs
- Blocking and anti-blocking pairs of polyhedra
- On the strong perfect graph conjecture
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