A simple test on 2-vertex- and 2-edge-connectivity

  • Authors:
  • Jens M. Schmidt

  • Affiliations:
  • Max Planck Institute for Informatics, Germany

  • Venue:
  • Information Processing Letters
  • Year:
  • 2013

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Abstract

Testing a graph on 2-vertex- and 2-edge-connectivity are two fundamental algorithmic graph problems. For both problems, different linear-time algorithms with simple implementations are known. Here, an even simpler linear-time algorithm is presented that computes a structure from which both the 2-vertex- and 2-edge-connectivity of a graph can be easily ''read off@?''. The algorithm computes all bridges and cut vertices of the input graph in the same time.