Even-hole-free graphs part I: Decomposition theorem
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Publication:2778281
DOI10.1002/jgt.10006zbMath1005.05034OpenAlexW2528053456WikidataQ59904365 ScholiaQ59904365MaRDI QIDQ2778281
Kristina Vušković, Michele Conforti, Cornuéjols, Gérard, Ajai Kapoor
Publication date: 2 June 2002
Published in: Journal of Graph Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/jgt.10006
Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Graph algorithms (graph-theoretic aspects) (05C85) Perfect graphs (05C17)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Star-cutsets and perfect graphs
- Alpha-balanced graphs and matrices and GF(3)-representability of matroids
- On the complexity of testing for odd holes and induced odd paths
- Decomposition of balanced matrices
- A theorem of Truemper
- Balanced \(0,\pm 1\) matrices. I: Decomposition
- \(\beta\)-perfect graphs
- Compositions for perfect graphs
- Even and odd holes in cap-free graphs