Graphs without odd holes, parachutes or proper wheels: A generalization of Meyniel graphs and of line graphs of bipartite graphs
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Publication:1405122
DOI10.1016/S0095-8956(02)00021-7zbMath1030.05049MaRDI QIDQ1405122
Michele Conforti, Cornuéjols, Gérard
Publication date: 25 August 2003
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Perfect graph2-joinDecompositionMeyniel graphStrong perfect graph conjectureLine graph of bipartite graphOdd holeStar cutset
Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Perfect graphs (05C17)
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Cites Work
- Unnamed Item
- Perfect graphs, partitionable graphs and cutsets
- The strong perfect graph theorem
- Star-cutsets and perfect graphs
- Alpha-balanced graphs and matrices and GF(3)-representability of matroids
- On the perfect graph conjecture
- A description of claw-free perfect graphs
- A theorem of Truemper
- Compositions for perfect graphs
- A Combinatorial Decomposition Theory
- Even and odd holes in cap-free graphs
- A mickey-mouse decomposition theorem