Enumeration of the Elementary Circuits of a Directed Graph

  • Authors:
  • Robert E Tarjan

  • Affiliations:
  • -

  • Venue:
  • Enumeration of the Elementary Circuits of a Directed Graph
  • Year:
  • 1972

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Abstract

An algorithm to enumerate all the elementary circuits of a directed graph is presented. The algorithm uses back-tracking with lookahead to avoid unnecessary work, and it has a time bound of $O ((V+E)(C+1))$ when applied to a graph with $V$ vertices, $E$ edges, and $C$ elementary circuits. Keywords: Algorithm, circuit, cycle, graph