An Improved Greedy Construction of Minimum Connected Dominating Sets in Wireless Networks

A minimum connected dominating set (MCDS) offers an optimized way of sending messages in wireless networks. However, constructing a MCDS is a NP-complete problem. Many heuristics based approximation algorithms for MCDS problems have been previously reported. In this paper, we propose a new degree-based multiple leaders initiated greedy approximation algorithm (PSCASTS) based on the selection of a pseudo-dominating set and an improved Steiner tree construction. We also show that our PSCASTS outperforms existing CDS construction algorithms in terms of CDS size and construction costs. The simulation results show that PSCASTS constructs better non-trivial CDSs for networks with uniform, nearly-uniform and random distribution of sensor nodes. While PSCASTS retains the current best performance ratio of (4.8+ln5)|opt|+1.2, |opt| being the size of an optimal CDS of the network, it has the best time complexity of O(D), where D is the network diameter.