Claw-free graphs. V. Global structure

  title={Claw-free graphs. V. Global structure},
  author={Maria Chudnovsky and Paul D. Seymour},
  journal={J. Comb. Theory, Ser. B},
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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