Complexity Issues in Switching of Graphs

  • Andrzej Ehrenfeucht
  • Jurriaan Hage
  • Tero Harju
  • Grzegorz Rozenberg
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1764)


In the context of graph transformations we look at the operation of switching, which can be viewed as an elegant method for realizing global transformations of graphs through local transformations of the vertices. We compare the complexity of a number of problems on graphs with the complexity of these problems extended to the set of switches of a graph. Within this framework, we prove a modification of Yannakakis’ result and use it to show NP-completeness for the embedding problem. Finally we prove NP-completeness for the 3-colourability problem.


Polynomial Time Chromatic Number Graph Transformation Hamiltonian Path Complete Bipartite Graph 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Andrzej Ehrenfeucht
    • 2
  • Jurriaan Hage
    • 1
  • Tero Harju
    • 3
  • Grzegorz Rozenberg
    • 1
    • 2
  1. 1.Leiden Institute of Advanced Computer ScienceLeidenThe Netherlands
  2. 2.Dept. of Computer ScienceUniversity of Colorado at BoulderBoulderU.S.A.
  3. 3.Dept. of MathematicsUniversity of TurkuTurkuFinland

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