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The structure of egocentric networks reflects the way people balance their need for strong, emotionally intense relationships and a diversity of weaker ties. Egocentric network structure can be quantified with 'social signatures', which…

Physics and Society · Physics 2018-06-08 S. Heydari , S. G. B. Roberts , R. I. M. Dunbar , J. Saramäki

The complex topology of real networks allows its actors to change their functional behavior. Network models provide better understanding of the evolutionary mechanisms being accountable for the growth of such networks by capturing the…

Social and Information Networks · Computer Science 2017-04-11 Arif Mohaimin Sadri , Samiul Hasan , Satish V. Ukkusuri , Juan Esteban Suarez Lopez

The contact structure between hosts has a critical influence on disease spread. However, most networkbased models used in epidemiology tend to ignore heterogeneity in the weighting of contacts. This assumption is known to be at odds with…

Populations and Evolution · Quantitative Biology 2012-09-03 Christel Kamp , Mathieu Moslonka-Lefebvre , Samuel Alizon

Exponential-family random network (ERN) models specify a joint representation of both the dyads of a network and nodal characteristics. This class of models allow the nodal characteristics to be modelled as stochastic processes, expanding…

Methodology · Statistics 2013-03-07 Ian E. Fellows , Mark S. Handcock

Genetic regulatory networks (GRNs) have been widely studied, yet there is a lack of understanding with regards to the final size and properties of these networks, mainly due to no network currently being complete. In this study, we analyzed…

Molecular Networks · Quantitative Biology 2019-03-13 Adrian I. Campos-González , Julio A. Freyre-González

Networks represent relationships between entities in many complex systems, spanning from online social interactions to biological cell development and brain connectivity. In many cases, relationships between entities are unambiguously…

Social and Information Networks · Computer Science 2018-01-23 Ivan Brugere , Brian Gallagher , Tanya Y. Berger-Wolf

We use data on frequencies of bi-directional posts to define edges (or relationships) in two Facebook datasets and a Twitter dataset and use these to create ego-centric social networks. We explore the internal structure of these networks to…

Social and Information Networks · Computer Science 2022-05-30 R. I. M. Dunbar , Valerio Arnaboldi , Marco Conti , Andrea Passarella

Local convergence techniques have become a key methodology to study sparse random graphs. However, convergence of many random graph properties does not directly follow from local convergence. A notable, and important, such random graph…

Probability · Mathematics 2025-10-07 Remco van der Hofstad

Several systems can be modeled as sets of interdependent networks where each network contains distinct nodes. Diffusion processes like the spreading of a disease or the propagation of information constitute fundamental phenomena occurring…

Social and Information Networks · Computer Science 2015-06-23 Mostafa Salehi , Payam Siyari , Matteo Magnani , Danilo Montesi

Big Data has become the primary source of understanding the structure and dynamics of the society at large scale. The network of social interactions can be considered as a multiplex, where each layer corresponds to one communication channel…

Physics and Society · Physics 2016-12-21 János Török , Yohsuke Murase , Hang-Hyun Jo , János Kertész , Kimmo Kaski

Many societies are organized in networks that are formed by people who meet and interact over time. In this paper, we present a first model to capture the micro-foundations of social networks evolution, where boundedly rational agents of…

Social and Information Networks · Computer Science 2015-08-17 Ahmed M. Alaa , Kartik Ahuja , Mihaela van der Schaar

Large real-life complex networks are often modeled by various random graph constructions and hundreds of further references therein. In many cases it is not at all clear how the modeling strength of differently generated random graph model…

Data Structures and Algorithms · Computer Science 2020-09-01 András Faragó , Rupei Xu

A key task in the study of networked systems is to derive local and global properties that impact connectivity, synchronizability, and robustness; computing shortest paths or geodesics yields measures of network connectivity that can…

Social and Information Networks · Computer Science 2025-03-05 Sahil Loomba , Nick S. Jones

Economy, and consequently trade, is a fundamental part of human social organization which, until now, has not been studied within the network modelling framework. Networks are mathematical tools used in the modelling of a wide variety of…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Angeles Serrano , Marian Boguna

Recent years have seen the world become a closely connected society with the emergence of different types of social networks. Online social networks have provided a way to bridge long distances and establish numerous communication channels…

Social and Information Networks · Computer Science 2014-11-03 Mohammad Ayub Latif , Muhammad Naveed , Faraz Zaidi

Understanding spreading dynamics will benefit society as a whole in better preventing and controlling diseases, as well as facilitating the socially responsible information while depressing destructive rumors. In network-based spreading…

Physics and Society · Physics 2015-01-16 Ai-Xiang Cui , Zimo Yang , Tao Zhou

The compartmental models used to study epidemic spreading often assume the same susceptibility for all individuals, and are therefore, agnostic about the effects that differences in susceptibility can have on epidemic spreading. Here we…

Physics and Society · Physics 2014-03-12 Daniel Smilkov , Cesar A. Hidalgo , Ljupco Kocarev

In this paper we show how to efficiently produce unbiased estimates of subgraph frequencies from a probability sample of egocentric networks (i.e., focal nodes, their neighbors, and the induced subgraphs of ties among their neighbors). A…

Social and Information Networks · Computer Science 2015-10-29 Minas Gjoka , Emily Smith , Carter T. Butts

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

Populations and Evolution · Quantitative Biology 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

Social influence cannot be identified from purely observational data on social networks, because such influence is generically confounded with latent homophily, i.e., with a node's network partners being informative about the node's…

Methodology · Statistics 2025-01-07 Edward McFowland , Cosma Rohilla Shalizi