Efficient parallel algorithms for chordal graphs

  • Authors:
  • P. N. Klein

  • Affiliations:
  • Harvard Univ., Cambridge, MA, USA

  • Venue:
  • SFCS '88 Proceedings of the 29th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1988

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Abstract

The author gives efficient parallel algorithms for recognizing chordal graphs, finding a maximum clique and a maximum independent set in a chordal graph, finding an optimal coloring of a chordal graph, finding a breadth-first search tree and a depth-first search tree of a chordal graph, recognizing interval graphs, and testing interval graphs for isomorphism. The key to the results is an efficient parallel algorithm for finding a perfect elimination ordering.