A Self-Stabilizing Algorithm for CDS Construction with Constant Approximation in Wireless Networks under SINR Model

Jiguo Yu, Lili Jia, Wei Li, Xiuzhen Cheng, Shengling Wang, Rongfang Bie, Dongxiao Yu

Abstract: As a distributed system, a wireless network, usually faces a complex environment (transient faults and topology changes occur frequently). The connected dominating set (CDS) problem has been widely studied due to its important applications in wireless communication and networks, especially the important role as a virtual backbone for efficient routing. In this paper, under SINR (Signal-to-Interference-plus-Noise-Ratio) model, we propose a distributed self-stabilizing maximal independent set (MIS) algorithm (DSSMIS). Based on DSSMIS, we design a distributed self-stabilizing algorithm (DSSCDS) for CDS construction with constant approximation within O(log n) rounds. To best of our knowledge, this is the first self-stabilizing CDS algorithm under SINR model.