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# Claw-free graphs. V. Global structure

@article{Chudnovsky2008ClawfreeGV, title={Claw-free graphs. V. Global structure}, author={Maria Chudnovsky and Paul D. Seymour}, journal={J. Comb. Theory, Ser. B}, year={2008}, volume={98}, pages={1373-1410} }

- Published 2008 in J. Comb. Theory, Ser. B
DOI:10.1016/j.jctb.2008.03.002

A graph is claw-free if no vertex has three pairwise nonadjacent neighbours. In earlier papers of this series we proved that every claw-free graph either belongs to one of several basic classes that we described explicitly, or admits one of a few kinds of decomposition. In this paper we convert this “decomposition” theorem into a theorem describing the global structure of claw-free graphs.

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