2015/02/02 by Swan Dubois, Dubois, Swan, Mohamed-Hamza Kaaouachi +3
Computer Science · #Distributed #Distributed systems and fault tolerance #FOS: Computer and information sciences #Mobile Ad Hoc Networks #Opportunistic and Delay-Tolerant Networks #Parallel #and Cluster Computing (cs.DC)
paper · doi:10.48550/arxiv.1502.00378
openalex publication_date 2015/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We address the problem of computing a Minimal Dominating Set in highly dynamic distributed systems. We assume weak connectivity, i.e., the network may be disconnected at each time instant and topological changes are unpredictable. We make only weak assumptions on the communication: every process is infinitely often able to communicate with other processes (not necessarily directly). Our contribution is threefold. First, we propose a new definition of minimal dominating set suitable for the context of time-varying graphs that seems more relevant than existing ones. Next, we provide a necessary and sufficient topological condition for the existence of a deterministic algorithm for minimal dominating set construction in our settings. Finally, we propose a new measure of time complexity in time-varying graph in order to to allow fair comparison between algorithms. Indeed, this measure takes account of communication delays attributable to dynamicity of the graph and not to the algorithms.