On the structure of (P5, gem)-free graphs

  title={On the structure of (P5, gem)-free graphs},
  author={Andreas Brandst{\"a}dt and Dieter Kratsch},
  journal={Discrete Applied Mathematics},
We give a complete structure description of ( P5,gem)-free graphs. By the results of a related paper, this implies bounded clique width for this graph class. Hereby, as usual, the P5 is the induced path with five vertices a, b, c, d, e and four edges ab, bc, cd, de, and thegemconsists of aP4 a, b, c, d with edgesab, bc, cd plus a universal vertex eadjacent toa, b, c, d. © 2004 Elsevier B.V. All rights reserved. 


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