Extended multipoint relays to determine connected dominating sets in MANETs

MPR (multipoint relays) (A. Qayyum et al., Jan. 2002) provides a localized and optimized way of broadcasting messages in a mobile ad hoc network (MANET). Using 2-hop neighborhood information, each node determines a small set of forward neighbors to relay messages. Selected forward nodes form a connected dominating set (CDS) to ensure full coverage. Adjih, Jacquet, and Viennot (2002) later proposed a novel localized algorithm to construct a small CDS based on the original MPR without any broadcast information. Such an approach is called source-independent or broadcast-independent. In this paper, we provide several extensions of the source-independent MPR to generate a smaller CDS using 3-hop neighborhood information to cover each node's 2-hop neighbor set. In addition, we extend the notion of coverage in the original MPR. We show that the extended MPR has a constant local approximation ratio compared with a logarithmic local ratio in the original MPR. The effectiveness of our approach is confirmed through a simulation study.