Fully Dynamic Representations of Interval Graphs

  • Authors:
  • Christophe Crespelle

  • Affiliations:
  • LIP6, CNRS - Université Paris 6,

  • Venue:
  • Graph-Theoretic Concepts in Computer Science
  • Year:
  • 2009

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Abstract

We present a fully dynamic algorithm that maintains three different representations of an interval graph: a minimal interval model of the graph, the PQ-tree of its maximal cliques, and its modular decomposition. After each vertex or edge modification (insertion or deletion), the algorithm determines whether the new graph is an interval graph in O(n) time, and, in the positive, updates the three representations within the same complexity.