Time varying networks and the weakness of strong ties
M\'arton Karsai, Nicola Perra, Alessandro Vespignani

TL;DR
This paper analyzes time-varying social networks, introduces a model capturing strong and weak ties, and finds that strong ties can hinder information spread in dynamic networks.
Contribution
It presents a new statistical law for temporal evolution of egocentric networks and a reinforcement model for time-varying networks with implications for information diffusion.
Findings
Strong ties inhibit rumor spreading in dynamic networks.
A simple statistical law characterizes the evolution of egocentric networks.
Time-varying interactions significantly affect information diffusion.
Abstract
In most social and information systems the activity of agents generates rapidly evolving time-varying networks. The temporal variation in networks' connectivity patterns and the ongoing dynamic processes are usually coupled in ways that still challenge our mathematical or computational modelling. Here we analyse a mobile call dataset and find a simple statistical law that characterize the temporal evolution of users' egocentric networks. We encode this observation in a reinforcement process defining a time-varying network model that exhibits the emergence of strong and weak ties. We study the effect of time-varying and heterogeneous interactions on the classic rumour spreading model in both synthetic, and real-world networks. We observe that strong ties severely inhibit information diffusion by confining the spreading process among agents with recurrent communication patterns. This…
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