Skip to main content

An Efficient Distributed Algorithm for Finding Virtual Backbones in Wireless Ad-Hoc Networks

  • Conference paper
High Performance Computing – HiPC 2005 (HiPC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3769))

Included in the following conference series:

Abstract

A minimum connected dominating set is an efficient approach to form a virtual backbone for ad-hoc networks. We propose a tree based distributed time/message efficient approximation algorithm to compute a small connected dominating set without using geographic positions. The algorithm has O(n) time, O(n log n) message complexity, and has an approximation factor of eight. The algorithm is implemented using dominating set simulation program, which shows that our method gives smaller connected dominating set than the existing methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Clark, B.N., Colbourn, C.J., Johnson, D.S.: Unit disk graphs. Discrete Mathematics 86, 165–177 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  2. Gerla, M., Tsai, J.T.C.: Multicuster, mobile, multimedia radio network. ACM-Baltzer Journal of wireless networks 1, 255–265 (1995)

    Article  Google Scholar 

  3. Chen, G., Stojmenovic, I.: Clustering and routing in mobile wireless networks. Technical report, University of Ottawa, Computer Science (1999)

    Google Scholar 

  4. Guha, S., Khuller, S.: Approximation algorithms for connected dominating sets. Algorithmica 20, 374–387 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  5. Bharghavan, V., Das, B.: Routing in adhoc networks using minimum connected dominating sets. In: IEEE International Conference on Communications (ICC 1997), Montreal, Canada, vol. 1, pp. 376–380 (1997)

    Google Scholar 

  6. Wu, J., Li, H.: On calculating connected dominating sets for efficient routing in adhoc wireless networks. In: Proc. of the 3rd Int’l Workshop on discrete algorithms and methods for mobile computing and communications, pp. 7–14 (1999)

    Google Scholar 

  7. Wan, P.J., Alzoubi, K.M., Frieder, O.: Distributed construction of connected dominating set in wireless adhoc networks. In: Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies, pp. 1597–1604 (2002)

    Google Scholar 

  8. Stojmenovic, I., Seddigh, M., Zunic, J.: Dominating sets and neighbor elimination based broadcasting algorithms in wireless networks. IEEE Transactions on Parallel and Distributed Systems, 14–25 (2002)

    Google Scholar 

  9. Alzoubi, K.M., Wan, P.J., Frieder, O.: Distributed heuristics for connected dominating set in wireless adhoc networks. IEEE ComSoc / KICS Journal of communications and networks 4, 22–29 (2002)

    Google Scholar 

  10. Alzoubi, K.M., Wan, P.J., Frieder, O.: Message-optimal connected dominating sets in mobile adhoc networks. In: The Third ACM Int’l Symposium on mobile adhoc networking and computing, pp. 157–164 (2002)

    Google Scholar 

  11. Alzoubi, K.M., Wan, P.J., Frieder, O.: New distributed algorithm for connected dominating set in wireless adhoc networks. In: Proceedings of the 35th Annual Hawaii International Conference on System Sciences, pp. 3849–3855 (2002)

    Google Scholar 

  12. Dai, F., Wu, J.: An extended localised algorithm for connected dominating set formation in ad-hoc wireless networks. IEEE Transactions on Parallel and distributed systems 15 (2004)

    Google Scholar 

  13. Das, B., Sivakumar, R., Bharghavan, V.: Routing in adhoc network using a spine. In: Int’l Conference on computers and communications networks 1997, Las Vegas, NV, pp. 34–39 (1997)

    Google Scholar 

  14. Sivakumar, R., Das, B., Bharghaban, V.: An improved spine-based infrustructure for routing in adhoc networks. In: IEEE Symposium on Computers and Communications 1998, Athens, Greece (1998)

    Google Scholar 

  15. Cidon, I., Mokryn, O.: Propagation and leader election in multihop broadcast environment. In: Kutten, S. (ed.) DISC 1998. LNCS, vol. 1499, pp. 104–119. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  16. Marathe, M.V., Breu, H., Hunt III, H.B., Ravi, S.S., Rosenkrantz, D.J.: Simple heuristics for unit disk graphs. Networks 25, 59–68 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  17. Dai, F.: Dominating set simulation program (2001), http://www.cse.fau.edu/~fdai/adhoc

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Paul, B., Rao, S.V., Nandi, S. (2005). An Efficient Distributed Algorithm for Finding Virtual Backbones in Wireless Ad-Hoc Networks. In: Bader, D.A., Parashar, M., Sridhar, V., Prasanna, V.K. (eds) High Performance Computing – HiPC 2005. HiPC 2005. Lecture Notes in Computer Science, vol 3769. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11602569_33

Download citation

  • DOI: https://doi.org/10.1007/11602569_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30936-9

  • Online ISBN: 978-3-540-32427-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics