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We consider a preferential attachment model that incorporates an anomaly. Our goal is to understand the evolution of the network before and after the occurrence of the anomaly by studying the influence of the anomaly on the structural…

Physics and Society · Physics 2025-05-07 Qiu Liang , Remco van der Hofstad , Nelly Litvak

We introduce a model for a preferentially attached network which has grown from a small world network. Here, the average path length and the clustering coefficient are estimated, and the topological properties of modeled networks are…

Physics and Society · Physics 2015-12-04 Seungyoung Lee

Cooperation is observed widely in nature and is thought an essential component of many evolutionary processes, yet the mechanisms by which it arises and persists are still unclear. Among several theories, network reciprocity -- a model of…

Computer Science and Game Theory · Computer Science 2016-05-10 Steve Miller , Joshua Knowles

Every day millions of users are connected through online social networks, generating a rich trove of data that allows us to study the mechanisms behind human interactions. Triadic closure has been treated as the major mechanism for creating…

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

The friendship paradox is a sociological phenomenon stating that most people have fewer friends than their friends do. The generalized friendship paradox refers to the same observation for attributes other than degree, and it has been…

Social and Information Networks · Computer Science 2014-11-04 Naghmeh Momeni , Michael G. Rabbat

Preferential attachment models have been widely studied in complex networks, because they can explain the formation of many networks like social networks, citation networks, power grids, and biological networks, to name a few. Motivated by…

Social and Information Networks · Computer Science 2016-05-03 Sushmita Ruj , Arindam Pal

Ever since the Barab\'{a}si-Albert (BA) scale-free network has been proposed, network modeling has been studied intensively in light of the network growth and the preferential attachment (PA). However, numerous real systems are featured…

Social and Information Networks · Computer Science 2025-11-25 Yuhan Li , Minyu Feng , Jürgen Kurths

Triadic closure describes the tendency for new friendships to form between individuals who already have friends in common. It has been argued heuristically that the triadic closure effect can lead to bistability in the formation of…

Social and Information Networks · Computer Science 2021-11-11 Stefano Di Giovacchino , Desmond J. Higham , Konstantinos C. Zygalakis

We model a social-encounter network where linked nodes match for reproduction in a manner depending probabilistically on each node`s attractiveness. The developed model reveals that increasing either the network`s mean degree or the…

Physics and Society · Physics 2017-06-22 S. Dipple , T. Jia , T. Caraco , G. Korniss , B. K. Szymanski

Motivated by widely observed examples in nature, society and software, where groups of already related nodes arrive together and attach to an existing network, we consider network growth via sequential attachment of linked node groups, or…

Statistical Mechanics · Physics 2009-04-30 Vladimir Filkov , Zachary M. Saul , Soumen Roy , Raissa M. D'Souza , Premkumar T. Devanbu

We consider the specification of effects of numerical actor attributes in statistical models for directed social networks. A fundamental mechanism is homophily or assortativity, where actors have a higher likelihood to be tied with others…

Applications · Statistics 2018-09-12 Tom A. B. Snijders , Alessandro Lomi

Reciprocity characterizes the information exchange between users in a network, and some empirical studies have revealed that social networks have a high proportion of reciprocal edges. Classical directed preferential attachment (PA) models,…

Physics and Society · Physics 2021-08-10 Tiandong Wang , Sidney I. Resnick

Faculty hiring networks-who hires whose graduates as faculty-exhibit steep hierarchies, which can reinforce both social and epistemic inequalities in academia. Understanding the mechanisms driving these patterns would inform efforts to…

Physics and Society · Physics 2022-04-14 Eun Lee , Aaron Clauset , Daniel B. Larremore

Looking to overcome the limitations of traditional networks, the network science community has lately given much attention to the so-called higher-order networks, where group interactions are modeled alongside pairwise ones. While degree…

Physics and Society · Physics 2022-07-11 Demival Vasques Filho

In social recommender systems, it is crucial that the recommendation models provide equitable visibility for different demographic groups, such as gender or race. Most existing research has addressed this problem by only studying individual…

Social and Information Networks · Computer Science 2026-02-26 Meng Cao , Hussain Hussain , Sandipan Sikdar , Denis Helic , Markus Strohmaier , Roman Kern

The dynamical origin of complex networks, i.e., the underlying principles governing network evolution, is a crucial issue in network study. In this paper, by carrying out analysis to the temporal data of Flickr and Epinions--two typical…

Social and Information Networks · Computer Science 2013-09-02 Menghui Li , Hailin Zou , Shuguang Guan , Xiaofeng Gong , Kun Li , Zengru Di , Choy-Heng Lai

Models based on preferential attachment have had much success in reproducing the power law degree distributions which seem ubiquitous in both natural and engineered systems. Here, rather than assuming preferential attachment, we give an…

Statistical Mechanics · Physics 2007-05-23 N. Berger , C. Borgs , J. T. Chayes , R. M. D'Souza , R. D. Kleinberg

There is growing recognition that the network structures arising from interactions between different entities in physical, social and biological systems fundamentally alter the evolutionary outcomes. Previous paradigm exploring evolutionary…

Physics and Society · Physics 2023-08-08 Yao Meng , Sean P. Cornelius , Yang-Yu Liu , Aming Li

Homophily, the tendency of individuals to associate with others who share similar traits, has been identified as a major driving force in the formation and evolution of social ties. In many cases, it is not clear if homophily is the result…

Physics and Society · Physics 2017-09-01 Ivan Smirnov , Stefan Thurner