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Many networks are complex dynamical systems, where both attributes of nodes and topology of the network (link structure) can change with time. We propose a model of co-evolving networks where both node at- tributes and network structure…

Social and Information Networks · Computer Science 2011-06-15 Yoon-Sik Cho , Greg Ver Steeg , Aram Galstyan

Phylogenetic networks are becoming of increasing interest to evolutionary biologists due to their ability to capture complex non-treelike evolutionary processes. From a combinatorial point of view, such networks are certain types of rooted…

Combinatorics · Mathematics 2019-10-21 Katharina T. Huber , Guillaume E. Scholz

We introduce an intuitive model that describes both the emergence of community structure and the evolution of the internal structure of communities in growing social networks. The model comprises two complementary mechanisms: One mechanism…

Physics and Society · Physics 2016-08-26 Jean-Gabriel Young , Laurent Hébert-Dufresne , Antoine Allard , Louis J. Dubé

Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity between pairs of individuals' attitudinal states to their…

Physics and Society · Physics 2015-06-12 Jonathan Ward , Peter Grindrod

A growing body of empirical evidence indicates that social and cooperative behavior can be affected by cognitive and neurological factors, suggesting the existence of state-based decision-making mechanisms that may have emerged by…

Populations and Evolution · Quantitative Biology 2017-08-23 Zoran Utkovski , Viktor Stojkoski , Lasko Basnarkov , Ljupco Kocarev

Understanding the forces governing human behavior and social dynamics is a challenging problem. Individuals' decisions and actions are affected by interlaced factors, such as physical location, homophily, and social ties. In this paper, we…

Social and Information Networks · Computer Science 2018-01-30 Luca Luceri , Alberto Vancheri , Torsten Braun , Silvia Giordano

We show that the resolution of social dilemmas on random graphs and scale-free networks is facilitated by imitating not the strategy of better performing players but rather their emotions. We assume sympathy and envy as the two emotions…

Physics and Society · Physics 2013-05-07 Attila Szolnoki , Neng-Gang Xie , Ye Ye , Matjaz Perc

We model recruitment in adaptive social networks in the presence of birth and death processes. Recruitment is characterized by nodes changing their status to that of the recruiting class as a result of contact with recruiting nodes. Only a…

Populations and Evolution · Quantitative Biology 2012-07-20 Maxim S. Shkarayev , Ira B. Schwartz , Leah B. Shaw

This doctoral work focuses on three main problems related to social networks: (1) Orchestrating Network Formation: We consider the problem of orchestrating formation of a social network having a certain given topology that may be desirable…

Social and Information Networks · Computer Science 2017-06-29 Swapnil Dhamal

In communication networks structure and dynamics are tightly coupled. The structure controls the flow of information and is itself shaped by the dynamical process of information exchanged between nodes. In order to reconcile structure and…

Physics and Society · Physics 2013-04-08 Jan O. Haerter , Bjorn Jamtveit , Joachim Mathiesen

Researchers have devoted themselves to exploring static features of social networks and further discovered many representative characteristics, such as power law in the degree distribution and assortative value used to differentiate social…

Physics and Society · Physics 2008-04-29 Yi Wang , Bin Wu , Nan Du

The number of common friends (or connections) in a graph is a commonly used measure of proximity between two nodes. Such measures are used in link prediction algorithms and recommendation systems in large online social networks. We obtain…

Probability · Mathematics 2019-08-14 Bikramjit Das , Souvik Ghosh

Systems as diverse as genetic networks or the world wide web are best described as networks with complex topology. A common property of many large networks is that the vertex connectivities follow a scale-free power-law distribution. This…

Disordered Systems and Neural Networks · Physics 2015-06-25 Albert-Laszlo Barabasi , Reka Albert

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Stefan Bornholdt , Thimo Rohlf

A number of recent studies have focused on the statistical properties of networked systems such as social networks and the World-Wide Web. Researchers have concentrated particularly on a few properties which seem to be common to many…

Statistical Mechanics · Physics 2009-11-07 Michelle Girvan , M. E. J. Newman

Many social and biological systems are characterized by enduring hierarchies, including those organized around prestige in academia, dominance in animal groups, and desirability in online dating. Despite their ubiquity, the general…

Social and Information Networks · Computer Science 2022-04-27 Mari Kawakatsu , Philip S. Chodrow , Nicole Eikmeier , Daniel B. Larremore

Adaptive networks appear in many biological applications. They combine topological evolution of the network with dynamics in the network nodes. Recently, the dynamics of adaptive networks has been investigated in a number of parallel…

Physics and Society · Physics 2008-01-23 Thilo Gross , Bernd Blasius

Recent years have seen tremendous growth of many online social networks such as Facebook, LinkedIn and MySpace. People connect to each other through these networks forming large social communities providing researchers rich datasets to…

Social and Information Networks · Computer Science 2013-11-15 Muhammad Qasim Pasta , Zohaib Jan , Faraz Zaidi , Celine Rozenblat

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

Disordered Systems and Neural Networks · Physics 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

Time-varying community structures widely exist in various real-world networks. However, the spreading dynamics on this kind of network has not been fully studied. To this end, we systematically study the effects of time-varying community…

Physics and Society · Physics 2017-05-17 Mian-Xin Liu , Wei Wang , Ying Liu , Ming Tang , Shi-Min Cai , Hai-Feng Zhang