Parallel graph algorithms that are efficient on average

  • Authors:
  • Don Coppersmith;Prabhakar Raghavan;Martin Tompa

  • Affiliations:
  • -;-;-

  • Venue:
  • SFCS '87 Proceedings of the 28th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1987

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Abstract

The following three problems concerning random graphs can be solved in (log n)O(1) expected time using linearly many processors: (1) finding the lexicographically first maximal independent set, (2) coloring the vertices using a number of colors that is almost surely within twice the chromatic number, and (3) finding a Hamiltonian circuit.