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Dominating Induced Matchings

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Graph Theory, Computational Intelligence and Thought

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5420))

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Abstract

We study the problem of determining whether or not a graph G has an induced matching that dominates every edge of the graph, which is also known as efficient edge domination. This problem is known to be NP-complete in general as well as in some restricted domains, such as bipartite graphs or regular graphs. In this paper, we identify a graph parameter to which the complexity of the problem is sensible and produce results of both negative (intractable) and positive (solvable in polynomial time) type.

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Author information

Authors and Affiliations

  1. Departamento de Matemática da Universidade de Aveiro, 3810-193, Aveiro, Portugal

    Domingos M. Cardoso

  2. DIMAP and Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK

    Vadim V. Lozin

Authors
  1. Domingos M. Cardoso
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  2. Vadim V. Lozin
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Editor information

Editors and Affiliations

  1. The Caesarea Rothschild Institute, Mount Carmel, University of Haifa, 31905, Haifa, Israel

    Marina Lipshteyn

  2. Department of Computer Science and Mathematics, Ariel University Center of Samaria, 40700, Ariel, Israel

    Vadim E. Levit

  3. Department of Computer Science, Colorado State University, 80523-1873, Fort Collins, CO, USA

    Ross M. McConnell

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© 2009 Springer-Verlag Berlin Heidelberg

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Cardoso, D.M., Lozin, V.V. (2009). Dominating Induced Matchings. In: Lipshteyn, M., Levit, V.E., McConnell, R.M. (eds) Graph Theory, Computational Intelligence and Thought. Lecture Notes in Computer Science, vol 5420. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02029-2_8

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  • DOI: https://doi.org/10.1007/978-3-642-02029-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02028-5

  • Online ISBN: 978-3-642-02029-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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