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On the maximum q-colourable induced subgraph problem in perfect graphs

Author

Listed:
  • Nicola Apollonio
  • Massimiliano Caramia

Abstract

Given a non-negative integer q, the maximum q-colourable induced subgraph (MCS) problem asks for an induced subgraph of maximum order among those that are q-colourable. By a result of Yannakakis and Gavril and independently of Corneil and Fonlupt, the MCS is NP-Complete even if restricted to the class of split graphs. In this paper, we investigate the approximability of the MCS problem in the class of perfect graphs.

Suggested Citation

  • Nicola Apollonio & Massimiliano Caramia, 2010. "On the maximum q-colourable induced subgraph problem in perfect graphs," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 2(1), pages 1-16.
  • Handle: RePEc:ids:ijmore:v:2:y:2010:i:1:p:1-16
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