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arxiv: 1104.3920 · v1 · pith:GRXKEVDWnew · submitted 2011-04-20 · 🧮 math.CO

Graphs without even holes or diamonds

classification 🧮 math.CO
keywords evengraphswithoutdiamondsholesinducedboundedchordless
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An even hole is an induced chordless cycle of even length at least four. A diamond is an induced subgraph isomorphic to K_4-e. We show that graphs without even holes and without diamonds can be decomposed via clique-separators into graphs that have uniformly bounded cliquewidth.

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