Randomized online graph coloring

  • Authors:
  • S. Vishwanathan

  • Affiliations:
  • Dept. of Comput. Sci., Chicago Univ., IL, USA

  • Venue:
  • SFCS '90 Proceedings of the 31st Annual Symposium on Foundations of Computer Science
  • Year:
  • 1990

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Abstract

It is shown that randomization helps in coloring graphs online, and a simple randomized online algorithm is presented. For 3-colorable graphs the expected number of colors the algorithm uses is O((n log n)/sup 1/2/). The algorithm runs in polynomial time and compares well with the best known polynomial-time offline algorithms. A lower bound is proved for the randomized algorithm.