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Weighted Connected Dominating Set

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Years and Authors of Summarized Original Work

  • 2005; Wang, Wang, Li

Problem Definition

This problem is concerned with a weighted version of the classical minimum connected dominating set problem. This problem has numerous motivations including wireless networks and distributed systems. Previous work [1, 2, 4, 5, 6, 14] in wireless networks focuses on designing efficient distributed algorithms to construct the connected dominating set which can be used as the virtual backbone for the network. Most of the proposed methods try to minimize the number of nodes in the backbone (i.e., the number of clusterheads). However, in many applications, minimizing the size of the backbone is not sufficient. For example, in wireless networks different wireless nodes may have different costs for serving as a clusterhead, due to device differences, power capacities, and information loads to be processed. Thus, by assuming each node has a cost to being in the backbone, there is a need to study distributed...

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Recommended Reading

  1. Alzoubi K, Wan P-J, Frieder O (2002) New distributed algorithm for connected dominating set in wireless ad hoc networks. In: Proceedings of IEEE 35th Hawaii international conference on system sciences (HICSS-35), Hawaii, 7–10 Jan 2002

    Google Scholar 

  2. Alzoubi K, Li X-Y, Wang Y, Wan P-J, Frieder O (2003) Geometric spanners for wireless ad hoc networks. IEEE Trans Parallel Distrib Process 14:408–421

    Article  Google Scholar 

  3. Ambuhl C, Erlebach T, Mihalak M, Nunkesser M (2006) Constant factor approximation for minimum-weight (connected) dominating sets in unit disk graphs. In: Proceedings of the 9th international workshop on approximation algorithms for combinatorial optimization problems (APPROX 2006), Barcelona, 28–30 Aug 2006. LNCS, vol 4110. Springer, Berlin/Heidelberg, pp 3–14

    Google Scholar 

  4. Bao L, Garcia–Aceves JJ (2003) Topology management in ad hoc networks. In: Proceedings of the 4th ACM international symposium on mobile ad hoc networking & computing, Annapolis, 1–3 June 2003. ACM Press, New York, pp 129–140

    Google Scholar 

  5. Chatterjee M, Das S, Turgut D (2002) WCA: a weighted clustering algorithm for mobile ad hoc networks. J Clust Comput 5:193–204

    Article  Google Scholar 

  6. Das B, Bharghavan V (1997) Routing in ad-hoc networks using minimum connected dominating sets. In: Proceedings of IEEE international conference on communications (ICC'97), Montreal, 8–12 June 1997, vol 1, pp 376–380

    Google Scholar 

  7. Guhaa S, Khuller S (1999) Improved methods for approximating node weighted Steiner trees and connected dominating sets. Inf Comput 150:57–74

    Article  MathSciNet  MATH  Google Scholar 

  8. Kachirski O, Guha R (2002) Intrusion detection using mobile agents in wireless ad hoc networks. In: Proceedings of IEEE workshop on knowledge media networking, Kyoto, 10–12 July 2002

    Google Scholar 

  9. Klein P, Ravi R (1995) A nearly best-possible approximation algorithm for node-weighted Steiner trees. J Algorithms 19:104–115

    Article  MathSciNet  MATH  Google Scholar 

  10. Kuhn F, Moscibroda T, Wattenhofer R (2004) What cannot be computed locally! In: Proceedings of the 23rd ACM symposium on the principles of distributed computing (PODC), St. John's, July 2004

    Google Scholar 

  11. Li X-Y, Wan P-J (2005) Theoretically good distributed CDMA/OVSF code assignment for wireless ad hoc networks. In: Proceedings of 11th international computing and combinatorics conference (COCOON), Kunming, 16–19 Aug 2005

    Google Scholar 

  12. Wang Y, Wang W, Li X-Y (2005) Efficient distributed low-cost backbone formation for wireless networks. In: Proceedings of 6th ACM international symposium on mobile ad hoc networking and computing (MobiHoc 2005), Urbana-Champaign, 25–27 May 2005

    Google Scholar 

  13. Wang Y, Wang W, Li X-Y (2006) Efficient distributed low cost backbone formation for wireless networks. IEEE Trans Parallel Distrib Syst 17:681–693

    Article  Google Scholar 

  14. Wu J, Li H (2001) A dominating-set-based routing scheme in ad hoc wireless networks. Spec Iss Wirel Netw Telecommun Syst J 3:63–84

    MATH  Google Scholar 

  15. Zheng R, He G, Gupta I, Sha L (2004) Time indexing in sensor networks. In: Proceedings of 1st IEEE international conference on mobile ad-hoc and sensor systems (MASS), Fort Lauderdale, 24–27 Oct 2004

    Google Scholar 

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Wang, Y., Wang, W., Li, XY. (2016). Weighted Connected Dominating Set. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_476

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