“…This simple diffusion model is typically used for analyzing consensus dynamics on networks, in which the pairs of connected nodes of the graph try to reach an agreement over a given topic, e.g., opinions, position in space, etc., and the network as a whole collapses to a steady state of consensus. Consensus protocols, as they are known in technological applications, have been widely used in the study of wireless sensor networks (WSNs) and peer-to-peer networks, where the problem consists of making the scalar states of a set of agents converge to the same value under local communication constraints [5,6,7,8]. In social network analysis the consensus dynamics plays a fundamental role in understanding the dynamics of information spreading among actors in a social system and it has been applied for a diverse series of real-world situations [9,10,11,12].…”