Years and Authors of Summarized Original Work
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2010; Kim, Wang, Li, Zhang, Wu
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2013; Wang, Kim, An, Gao, Li, Zhang, Wu
Problem Definition
The problem of interest is to find a virtual backbone with a certain level of fault tolerance. Virtual backbone is a subset of nodes to be in charge of routing messages among the other nodes and is a very effective tool to improve the communication efficiency of various wireless networks such as mobile ad hoc networks and wireless sensor networks [3]. It is known that a virtual backbone with smaller cardinality works more efficiently. Without the fault-tolerance consideration, the problem of computing minimum cardinality virtual backbone can be formulated as a minimum connected dominating set problem [1], which is a well-known NP-hard problem [2]. To improve the fault tolerance of a connected dominating set C in homogenous wireless networks, C needs to exhibit two additional properties [4]:
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k-connectivity: C has to be k-vertex-connected so that the...
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Guha S, Khuller S (1998) Approximation algorithms for connected dominating sets. Algorithmica 20:374–387
Garey MR, Johnson DS (1979) Computers and intractability: a guide to the theory of NP-completeness. Freeman, San Francisco
Sinha P, Sivakumar R, Bharghavan V (2001) Enhancing ad hoc routing with dynamic virtual infrastructures. In: Proceedings of the 20th annual joint conference of the IEEE computer and communications societies, Anchorage vol 3, pp 1763–1772
Dai F, Wu J (2005), On constructing k-connected k-dominating set in wireless network. In: Proceedings of the 19th IEEE international parallel and distributed processing symposium, Denver
Diestel R (2005) Graph theory, 3rd edn. Springer, Heidelberg
Clark BN, Colbourn CJ, Johnson DS (1990) Unit disk graphs. Discret Math 86:165–177
Wang F, Thai MT, Du DZ (2009) 2-connected virtual backbone in wireless network. IEEE Trans Wirel Commun 8(3):1230–1237
Shang W, Yao F, Wan P, Hu X (2007) On minimum m-connected k-dominating set problem in unit disc graphs. J Comb Optim 16(2):99–106
Li Y, Wu Y, Ai C, Beyah R (2012) On the construction of k-connected m-dominating sets in wireless networks. J Comb Optim 23(1):118–139
Thai MT, Zhang N, Tiwari R, Xu X (2007) On approximation algorithms of k-connected m-dominating sets in disk graphs. Theor Comput Sci 358:49–59
Wu Y, Wang F, Thai MT, Li Y (2007) Constructing k-connected m-dominating sets in wireless sensor networks. In: Proceedings of the 2007 military communications conference, Orlando
Wu Y, Li Y (2008) Construction algorithms for k-connected m-dominating sets in wireless sensor networks. In: Proceedings of 9th ACM international symposium on mobile ad hoc networking and computing, Hong Kong
Zhang N, Shin I, Zou F, Wu W, Thai MT (2008) Trade-off scheme for fault tolerant connected dominating sets on size and diameter. In: Proceedings of the 1st ACM international workshop on foundations of wireless ad hoc and sensor networking and computing (FOWANC ’08), Hong Kong
Kim D, Gao X, Zou F, Du DZ (2011) Construction of fault-tolerant virtual backbones in wireless networks. Handbook on security and networks. World Scientific, Hackensack, pp 488–509
Kim D, Wang W, Li X, Zhang Z, Wu W (2010) A new constant factor approximation for computing 3-connected m-dominating sets in homogeneous wireless networks. In: Proceedings of the 29th IEEE conference on computer communications, San Diego
Wang W, Kim D, An MK, Gao W, Li X, Zhang Z, Wu W (2013) On construction of quality fault-tolerant virtual backbone in wireless networks. IEEE/ACM Trans Netw 21(5):1499–1510
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Kim, D., Wang, W., Wu, W., Tokuta, A.O. (2016). Fault-Tolerant Connected Dominating Set. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_622
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