On Linear-Time Algorithms for Five-Coloring Planar Graphs

  title={On Linear-Time Algorithms for Five-Coloring Planar Graphs},
  author={Greg N. Frederickson},
  journal={Inf. Process. Lett.},
It is well known that the vertices of a planar graph can be colored with no more than four colors [l]. However, the rather detailed proof of this fact leads to a @(n*) algorithm for determining such a coloring. To yield faster algorithms, several authors have considered generating a fivecoloring rather than a four-coloring [4]. Recently, two different approaches to five-coloring planar graphs have been shown to yield linear-time algorithms [5,3]. Each approach involves the clever exploitation… CONTINUE READING


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