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With the evolution of social networks, the network structure shows dynamic nature in which nodes and edges appear as well as disappear for various reasons. The role of a node in the network is presented as the number of interactions it has…

Social and Information Networks · Computer Science 2018-03-02 Shailesh Kumar Jaiswal , Nabajyoti Medhi , Manjish Pal , Mridul Sahu , Prashant Sahu , Amal Dev Sarma

We consider a dynamic social network model in which agents play repeated games in pairings determined by a stochastically evolving social network. Individual agents begin to interact at random, with the interactions modeled as games. The…

Probability · Mathematics 2007-05-23 Brian Skyrms , Robin Pemantle

In recent decades, it has been emphasized that the evolving structure of networks may be shaped by interaction principles that yield sparse graphs with a vertex degree distribution exhibiting an algebraic tail, and other structural traits…

Statistical Mechanics · Physics 2025-07-01 Dario Borrelli

In this paper we present a generalized model for network growth that links the microscopical agent strategies with the large scale behavior. This model is intended to reproduce the largest number of features of the Internet network at the…

Statistical Mechanics · Physics 2007-05-23 Guido Caldarelli , Paolo De Los Rios , Luciano Pietronero

In this paper, we propose a general model for collaboration networks. Depending on a single free parameter "{\bf preferential exponent}", this model interpolates between networks with a scale-free and an exponential degree distribution. The…

Statistical Mechanics · Physics 2009-11-11 Tao Zhou , Ying-di Jin , Bing-Hong Wang , Da-Ren He , Pei-Pei Zhang , Yue He , Bei-Bei Su , Kan Chen , Zhong-Zhi Zhang

This paper presents a method of understanding the growth of global science as resulting from a mechanism of preferential attachment within networks. The paper seeks to contribute to the development of indicators of knowledge creation and…

Physics and Society · Physics 2009-11-19 Caroline S. Wagner , Loet Leydesdorff

Network science is a powerful tool for analyzing complex systems in fields ranging from sociology to engineering to biology. This paper is focused on generative models of large-scale bipartite graphs, also known as two-way graphs or…

Social and Information Networks · Computer Science 2017-09-20 Sinan Aksoy , Tamara G. Kolda , Ali Pinar

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

Many important real-world networks manifest "small-world" properties such as scale-free degree distributions, small diameters, and clustering. The most common model of growth for these networks is "preferential attachment", where nodes…

Quantitative Methods · Quantitative Biology 2009-11-13 Samarth Swarup , Les Gasser

We provided a game model to simulate the evolution of coauthorship networks, a geometric hypergraph built on a circle. The model expresses kin selection and network reciprocity, two typically cooperative mechanisms, through a cooperation…

Physics and Society · Physics 2018-12-27 Zheng Xie

Evolving network models under a dynamic growth rule which comprises the addition and deletion of nodes are investigated. By adding a node with a probability $P_a$ or deleting a node with the probability $P_d=1-P_a$ at each time step, where…

Physics and Society · Physics 2011-08-09 Ke Deng , Ke Hu , Yi Tang

Identifying the generating mechanism of a network is challenging as, more often than not, only snapshots are available, but not the full evolution. One candidate for the generating mechanism is preferential attachment which, in its simplest…

Methodology · Statistics 2025-10-07 Thomas Boughen , Clement Lee , Vianey Palacios Ramirez

Growing network models can potentially be a useful tool in the development of economic theory. This work introduces an "opportunistic attachment" mechanism where incoming nodes, in deciding where to join a network, consider features of the…

Physics and Society · Physics 2026-04-21 Carolina ES Mattsson

Using a simple model with link removals as well as link additions, we show that an evolving network is scale free with a degree exponent in the range of (2, 4]. We then establish a relation between the network evolution and a set of…

Mathematical Physics · Physics 2007-05-23 Dinghua Shi , Liming Liu , Xiang Zhu , Huijie Zhou , Binbin Wang

Complex networks serve as abstract models for understanding real-world complex systems and provide frameworks for studying structured dynamical systems. This article addresses limitations in current studies on the exploration of individual…

Social and Information Networks · Computer Science 2025-10-14 Bin Pi , Liang-Jian Deng , Minyu Feng , Matjaž Perc , Jürgen Kurths

We investigate a simple stochastic model of social network formation by the process of reinforcement learning with discounting of the past. In the limit, for any value of the discounting parameter, small, stable cliques are formed. However,…

Probability · Mathematics 2007-05-23 Robin Pemantle , Brian Skyrms

The emergence of cooperation among self-interested agents has been a key concern of the multi-agent systems community for decades. With the increased importance of network-mediated interaction, researchers have shifted the attention on the…

Physics and Society · Physics 2022-02-09 Jacques Bara , Paolo Turrini , Giulia Andrighetto

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

In this paper, we introduce a conceptual framework that model human social networks as an undirected dot-product graph of independent individuals. Their relationships are only determined by a cost-benefit analysis, i.e. by maximizing an…

Probability · Mathematics 2024-11-26 Aldric Labarthe , Yann Kerzreho

Generated networks are widely used in network-based research as a convenient simulation environment. Generating universal networks that more accurately reflect real-world patterns is a cornerstone task. This study proposes a vari-linear…

Physics and Society · Physics 2026-04-27 Jinhu Ren , Linyuan Lü