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We describe and develop three recent novelties in network research which are particularly useful for studying social systems. The first one concerns the discovery of some basic dynamical laws that enable the emergence of the fundamental…

Physics and Society · Physics 2011-03-22 Pedro G. Lind , Hans J. Herrmann

Recently, evolving networks are becoming a suitable form to model many real-world complex systems, due to their peculiarities to represent the systems and their constituting entities, the interactions between the entities and the…

Artificial Intelligence · Computer Science 2017-09-21 Angelo Impedovo , Corrado Loglisci , Michelangelo Ceci

Disentangling the mechanisms underlying the social network evolution is one of social science's unsolved puzzles. Preferential attachment is a powerful mechanism explaining social network dynamics, yet not able to explain all scaling-laws…

Social and Information Networks · Computer Science 2014-09-19 Yang Yang , Yuxiao Dong , Nitesh V. Chawla

The spreading dynamics in social networks are often studied under the assumption that individuals' statuses, whether informed or infected, are fully observable. However, in many real-world situations, such statuses remain unobservable,…

Social and Information Networks · Computer Science 2026-02-23 Derrick Gilchrist Edward Manoharan , Anubha Goel , Alexandros Iosifidis , Henri Hansen , Juho Kanniainen

This article serves as an introduction to the study of networks of social systems. First, we introduce the reader to key mathematical tools to study social networks, including mathematical representations of networks and essential…

Physics and Society · Physics 2023-02-03 Heather Z. Brooks

The identification of the limiting factors in the dynamical behavior of complex systems is an important interdisciplinary problem which often can be traced to the spectral properties of an underlying network. By deriving a general relation…

Disordered Systems and Neural Networks · Physics 2007-07-03 Adilson E. Motter

It is generally accepted that scale-free networks is prone to epidemic spreading allowing the onset of large epidemics whatever the spreading rate of the infection. In the paper, we show that disease propagation may be suppressed in…

Other Condensed Matter · Physics 2008-03-05 Zhongzhi Zhang , Shuigeng Zhou , Tao Zou , Jihong Guan

Online social networks have increasing influence on our society, they may play decisive roles in politics and can be crucial for the fate of companies. Such services compete with each other and some may even break down rapidly. Using social…

Physics and Society · Physics 2017-12-20 János Török , János Kertész

Despite the tremendous advancements in the field of network theory, very few studies have taken weights in the interactions into consideration that emerge naturally in all real world systems. Using random matrix analysis of a weighted…

Physics and Society · Physics 2016-02-25 Camellia Sarkar , Sarika Jalan

We study the spread of influence in a social network based on the Linear Threshold model. We derive an analytical expression for evaluating the expected size of the eventual influenced set for a given initial set, using the probability of…

Other Computer Science · Computer Science 2010-02-09 Srinivasan Venkatramanan , Anurag Kumar

A common theme among the proposed models for network epidemics is the assumption that the propagating object, i.e., a virus or a piece of information, is transferred across the nodes without going through any modification or evolution.…

Physics and Society · Physics 2019-11-05 Rashad Eletreby , Yong Zhuang , Kathleen M. Carley , Osman Yağan , H. Vincent Poor

It is well-known that many networks follow a power-law degree distribution; however, the factors that influence the formation of their distributions are still unclear. How can one model the connection between individual actions and network…

Social and Information Networks · Computer Science 2015-11-10 Yang Yang , Jie Tang , Yuxiao Dong , Qiaozhu Mei , Reid A. Johnson , Nitesh V. Chawla

The increasing prominence of temporal networks in online social platforms and dynamic communication systems has made influence maximization a critical research area. Various diffusion models have been proposed to capture the spread of…

Social and Information Networks · Computer Science 2025-07-31 Aaqib Zahoor , Iqra Altaf Gillani , Janibul Bashir

The availability of new data sources on human mobility is opening new avenues for investigating the interplay of social networks, human mobility and dynamical processes such as epidemic spreading. Here we analyze data on the time-resolved…

Diffusion dynamics in multiplex networks can model a diverse number of real-world processes. In some specific configurations of these systems, the super-diffusion phenomenon arises, in which the diffusion is faster in the multiplex network…

Physics and Society · Physics 2024-12-05 Lluís Torres-Hugas , Jordi Duch , Sergio Gómez

This article introduces a new class of models for multiple networks. The core idea is to parametrize a distribution on labelled graphs in terms of a Fr\'{e}chet mean graph (which depends on a user-specified choice of metric or graph…

Methodology · Statistics 2020-03-09 Simón Lunagómez , Sofia C. Olhede , Patrick J. Wolfe

The time variation of contacts in a networked system may fundamentally alter the properties of spreading processes and affect the condition for large-scale propagation, as encoded in the epidemic threshold. Despite the great interest in the…

Physics and Society · Physics 2015-04-14 Eugenio Valdano , Luca Ferreri , Chiara Poletto , Vittoria Colizza

We study binary state dynamics on a network where each node acts in response to the average state of its neighborhood. Allowing varying amounts of stochasticity in both the network and node responses, we find different outcomes in random…

Physics and Society · Physics 2014-07-09 Kameron Decker Harris , Christopher M. Danforth , Peter Sheridan Dodds

Real networks can be classified into two categories: fractal networks and non-fractal networks. Here we introduce a unifying model for the two types of networks. Our model network is governed by a parameter $q$. We obtain the topological…

Other Condensed Matter · Physics 2008-08-07 Zhongzhi Zhang , Shuigeng Zhou , Lichao Chen , Jihong Guan

The study of meme propagation and the prediction of meme trajectory are emerging areas of interest in the field of complex networks research. In addition to the properties of the meme itself, the structural properties of the underlying…

Social and Information Networks · Computer Science 2015-12-15 Yayati Gupta , Akrati Saxena , Debarati Das , S. R. S. Iyengar