Fast and Simple Algorithms for Recognizing Chordal Comparability Graphs and Interval Graphs

  • Authors:
  • Wen-Lian Hsu;Tze-Heng Ma

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 1999

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Abstract

In this paper, we present a linear-time algorithm for substitution decomposition on chordal graphs. Based on this result, we develop a linear-time algorithm for transitive orientation on chordal comparability graphs, which reduces the complexity of chordal comparability recognition from O(n2) to O(n+m). We also devise a simple linear-time algorithm for interval graph recognition where no complicated data structure is involved.