A measure of similarity based on the concept that two vertices are similar if their immediate neighbors in the network are themselves similar is proposed, which leads to a self-consistent matrix formulation of similarity that can be evaluated iteratively using only a knowledge of the adjacency matrix of the network.
A simple model of the convergence of opinion in social systems, with a single parameter controlling the balance of the two processes, that undergoes a continuous phase transition as this parameter is varied, from a regime in which opinions are arbitrarily diverse to one in which most individuals hold the same opinion.
This study proposes a coefficient to measure if the network has such a clear-cut core-periphery dichotomy and measures this coefficient for a number of real-world and model networks and finds that different classes of networks have their characteristic values.
This work uses real-world contact sequences, time-ordered lists of contacts from one person to another, to study how fast information or disease can spread across network of contacts and concludes that the network reachability depends much on a core where the path lengths are short and communication frequent.
This work reviews recent results of network epidemiology for such temporal network data with time stamps, and calls for extended analysis tools for network Epidemiology, which has, to date, mostly viewed networks as static entities.
This work studies how a fraction of a population should be vaccinated to most efficiently stop epidemics and concludes that only local information-about the neighborhood of specific vertices-is relevant for vaccination.
The degree distribution for networks of ongoing contacts fits better to a power law than the degree distribution of the network of accumulated contacts do, and it is argued that the distribution of relationship duration is exponentially decaying.
It is argued that cross-modular edges are the key for the robustness of metabolism, found to be more modular than random networks but far from perfectly divisible into modules.