4-edge-coloring graphs of maximum degree 3 in linear time

  • Authors:
  • San Skulrattanakulchai

  • Affiliations:
  • Department of Computer Science, University of Colorado at Boulder, Boulder, CO

  • Venue:
  • Information Processing Letters
  • Year:
  • 2002

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Abstract

We present a linear time algorithm to properly color the edges of any graph of maximum degree 3 using 4 colors. Our algorithm uses a greedy approach and utilizes a new structure theorem for such graphs.