Maximum Weight Stable Set on graphs without claw and co-claw (and similar graph classes) can be solved in linear time.
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Publication:1853148
DOI10.1016/S0020-0190(02)00291-0zbMath1042.68085OpenAlexW2082819223MaRDI QIDQ1853148
Suhail Mahfud, Andreas Brandstädt
Publication date: 21 January 2003
Published in: Information Processing Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0020-0190(02)00291-0
AlgorithmsComputational complexityLinear timeModular decompositionModules in graphsPrime graphsClique width of graphsMaximum Stable SetMonadic Second Order Logic
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Cites Work
- On maximal independent sets of vertices in claw-free graphs
- Algorithme de recherche d'un stable de cardinalité maximum dans un graphe sans étoilé
- Complement reducible graphs
- Modular decomposition and transitive orientation
- Linear time solvable optimization problems on graphs of bounded clique-width
- Upper bounds to the clique width of graphs
- Handle-rewriting hypergraph grammars
- A Linear Recognition Algorithm for Cographs
- Some classes of perfectly orderable graphs
- Graph Classes: A Survey
- ON THE CLIQUE–WIDTH OF GRAPH WITH FEW P4'S
- Some graph theoretic results associated with Ramsey's theorem
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