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A Convex-Hull Based Algorithm to Connect the Maximal Independent Set in Unit-Disk Graphs

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Wireless Algorithms, Systems, and Applications (WASA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 4138))

Abstract

In this paper we propose and analyze a localized convex-hull based algorithm to connect a maximal independent set. The cardinality of the resultant connected dominating set is at most 76 opt +19, where opt is the size of a minimum connected dominating set. To our knowledge, this is a dramatic improvement compared to the best published results in the same context [1,6] . Our algorithm plays an important rule in efficiently constructing a virtual backbone for ad hoc and sensor networks.

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Author information

Authors and Affiliations

  1. Uniformed Services University of the Health Sciences, 4301 Jones Bridge Road, Bethesda, MD, 20814, USA

    Dechang Chen

  2. School of Computer, National University of Defense Technology, Changsha, Hunan, 410073, P.R. China

    Xilong Mao

  3. Rizhao Geotechical Investigation and Surveying, Institute of Urban and Rural Construction, No.269, Jinan Road, Rizhao, Shandong, 276826, P.R. China

    Xia Fei

  4. Department of Computer Science, The George Washington University, 801 22nd St. NW, Washington, DC, 20052, USA

    Kai Xing & Fang Liu

  5. Department of Electrical and Computer Engineering, Old Dominion University, 231 Kaufman Hall, Norfolk, VA, 23529, USA

    Min Song

Authors
  1. Dechang Chen
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  2. Xilong Mao
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  3. Xia Fei
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  4. Kai Xing
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  5. Fang Liu
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  6. Min Song
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Editor information

Editors and Affiliations

  1. Department of Computer Science, The George Washington University, 801 22nd Street NW, Suite 704., 20052, Washington DC, USA

    Xiuzhen Cheng

  2. School of Information Science and Technology, Sun Yat-sen University, 510275, Guangzhou, China

    Wei Li

  3. Computer Science Department, University of Pittsburgh, PA 15260, Pittsburgh, USA

    Taieb Znati

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© 2006 Springer-Verlag Berlin Heidelberg

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Chen, D., Mao, X., Fei, X., Xing, K., Liu, F., Song, M. (2006). A Convex-Hull Based Algorithm to Connect the Maximal Independent Set in Unit-Disk Graphs. In: Cheng, X., Li, W., Znati, T. (eds) Wireless Algorithms, Systems, and Applications. WASA 2006. Lecture Notes in Computer Science, vol 4138. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11814856_35

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  • DOI: https://doi.org/10.1007/11814856_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37189-2

  • Online ISBN: 978-3-540-37190-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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