Algorithm 447: efficient algorithms for graph manipulation

  • Authors:
  • John Hopcroft;Robert Tarjan

  • Affiliations:
  • Cornell Univ., Ithaca, NY;Cornell Univ., Ithaca, NY

  • Venue:
  • Communications of the ACM
  • Year:
  • 1973

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Abstract

Efficient algorithms are presented for partitioning a graph into connected components, biconnected components and simple paths. The algorithm for partitioning of a graph into simple paths of iterative and each iteration produces a new path between two vertices already on paths. (The start vertex can be specified dynamically.) If V is the number of vertices and E is the number of edges, each algorithm requires time and space proportional to max (V, E) when executed on a random access computer.