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International Conference on Current Trends in Theory and Practice of Computer Science

SOFSEM 2006: SOFSEM 2006: Theory and Practice of Computer Science pp 237–245Cite as

nonblocker: Parameterized Algorithmics for minimum dominating set

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 3831)

Abstract

We provide parameterized algorithms for nonblocker, the parametric dual of the well known dominating set problem. We exemplify three methodologies for deriving parameterized algorithms that can be used in other circumstances as well, including the (i) use of extremal combinatorics (known results from graph theory) in order to obtain very small kernels, (ii) use of known exact algorithms for the (nonparameterized) minimum dominating set problem, and (iii) use of exponential space. Parameterized by the size k d of the non-blocking set, we obtain an algorithm that runs in time \({\mathcal O}^{*}(1.4123^{k_{d}})\) when allowing exponential space.

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  • DOI: 10.1007/11611257_21
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Author information

Authors and Affiliations

  1. School of Computer Science, Carleton University, Canada

    Frank Dehne

  2. School of Electrical Engineering and Computer Science, The University of Newcastle, Australia

    Michael Fellows, Henning Fernau, Elena Prieto & Frances Rosamond

  3. University of Hertfordshire, College Lane, Hatfield, Herts, AL10 9AB, UK

    Henning Fernau

  4. WSI für Informatik, Universität Tübingen, Sand 13, 72076, Tübingen, Germany

    Henning Fernau

Authors
  1. Frank Dehne
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  2. Michael Fellows
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  3. Henning Fernau
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  4. Elena Prieto
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  5. Frances Rosamond
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Editor information

Editors and Affiliations

  1. Institute of Computer Science, Academy of Sciences of the Czech Republic, Pod Vodárenskou věží 2, 182 07, Prague 8, Czech Republic

    Jiří Wiedermann & Július Štuller & 

  2. Department of Information and Computer Sciences, University of Utrecht, P.O. Box 80.089, 3508, Utrecht, TB, The Netherlands

    Gerard Tel

  3. Faculty of Mathematics and Physics, Charles University, Prague

    Jaroslav Pokorný

  4. Institute of Informatics and Software Engineering Faculty of Informatics and Information technologies, Slovak University of Technology, Ilkovičova 3, 842 16, Bratislava

    Mária Bieliková

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Dehne, F., Fellows, M., Fernau, H., Prieto, E., Rosamond, F. (2006). nonblocker: Parameterized Algorithmics for minimum dominating set . In: Wiedermann, J., Tel, G., Pokorný, J., Bieliková, M., Štuller, J. (eds) SOFSEM 2006: Theory and Practice of Computer Science. SOFSEM 2006. Lecture Notes in Computer Science, vol 3831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11611257_21

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  • DOI: https://doi.org/10.1007/11611257_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31198-0

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