Issue No. 03 - March (2006 vol. 55)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TC.2006.40
Jie Wu , IEEE
Wei Lou , IEEE
Fei Dai , IEEE
Multipoint relays (MPR)  provide a localized and optimized way of broadcasting messages in a mobile ad hoc network (MANET). Using partial 2-hop information, each node chooses a small set of forward neighbors to relay messages and this set covers the node's 2-hop neighbor set. These selected forward nodes form a connected dominating set (CDS) to ensure full coverage. Adjih et al.  later proposed a novel extension of MPR to construct a small CDS and it is source-independent. In this paper, we provide several extensions to generate a smaller CDS using complete 2-hop information to cover each node's 2-hop neighbor set. We extend the notion of coverage in the original MPR. We prove that the extended MPR has a constant local approximation ratio compared with a logarithmic local ratio in the original MPR. In addition, we show that the extended MPR has a constant global probabilistic approximation ratio, while no such ratio exists in the original MPR and its existing extensions. The effectiveness of our approach is confirmed through a simulation study.
Approximation ratio, broadcasting, connected dominating set (CDS), heuristic solutions, mobile ad hoc networks (MANETs), multipoint relays (MPR).
Jie Wu, Wei Lou, Fei Dai, "Extended Multipoint Relays to Determine Connected Dominating Sets in MANETs", IEEE Transactions on Computers, vol. 55, no. , pp. 334-347, March 2006, doi:10.1109/TC.2006.40