This paper studies the complexity of the Maximum Induced Matching problem (MIM) in regular graphs and trees. We show that the largest induced matchings in a regular graph of degree d can be approximated with a performance ratio less than d. However MIM is NP-hard to approximate within some constant c > 1 even if the input is restricted to various classes of bounded degree and regular graphs. Finally we describe a simple algorithm providing a linear time optimal solution to MIM if the input graph is a tree.


Polynomial Time Bipartite Graph Regular Graph Performance Ratio Input Graph 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Michele Zito
    • 1
  1. 1.Department of Computer ScienceUniversity of LiverpoolLiverpoolUK

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