Exact coloring of real-life graphs is easy

  • Authors:
  • Olivier Coudert

  • Affiliations:
  • Synopsys, Inc., 700 East Middlefield Rd., Mountain View, CA

  • Venue:
  • DAC '97 Proceedings of the 34th annual Design Automation Conference
  • Year:
  • 1997

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Abstract

Graph coloring has several important applications inVLSI CAD. Since graph coloring is NP-complete, heuristics are used to approximate the optimum solution. But heuristic solutions are typically 10% off, and as much as100% off, the minimum coloring. This paper shows thatsince real-life graphs appear to be 1-perfect, one can indeed solve them exactly for a small overhead.