An efficient approximation scheme for minimum connected dominating set in wireless ad hoc networks

We present a new distributed approximation algorithm that constructs a minimum connected dominating set (MCDS) for wireless ad hoc networks based on a maximal independent set (MIS). Our algorithm, which is fully localized, has a constant approximation ratio, and O(n) time and O(n) message complexity. In this algorithm, each node only requires the knowledge of its one-hop neighbors and there is only one shortest path connecting two dominators that are at most three hops away. Compared with other MCDS approximation algorithms, our algorithm shows better efficiency and performance.