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Preferential attachment is a central paradigm in the theory of complex networks. In this contribution we consider various generalizations of preferential attachment including for example node removal and edge rewiring. We demonstrate that…

Statistical Mechanics · Physics 2012-01-24 Heiko Bauke , David Sherrington

We investigate choice-driven network growth. In this model, nodes are added one by one according to the following procedure: for each addition event a set of target nodes is selected, each according to linear preferential attachment, and a…

Statistical Mechanics · Physics 2014-07-25 P. L. Krapivsky , S. Redner

Understanding of evolutionary mechanism of online social networks is greatly significant for the development of network science. However, present researches on evolutionary mechanism of online social networks are neither deep nor clear…

Physics and Society · Physics 2018-08-01 Bin Zhou , Xiao-Yong Yan , Xiao-Ke Xu , Xiao-Ting Xu , Nianxin Wang

While traditional game models often simplify interactions among agents as static, real-world social relationships are inherently dynamic, influenced by both immediate payoffs and alternative information. Motivated by this fact, we introduce…

Social and Information Networks · Computer Science 2024-11-25 Hongyu Yue , Xiaojin Xiong , Minyu Feng , Attila Szolnoki

Preferential attachment is a popular model of growing networks. We consider a generalized model with random node removal, and a combination of preferential and random attachment. Using a high-degree expansion of the master equation, we…

Statistical Mechanics · Physics 2012-01-20 Heiko Bauke , Cristopher Moore , Jean-Baptiste Rouquier , David Sherrington

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

Cooperation is a major factor in the evolution of human societies. The structure of human social networks, which affects the dynamics of cooperation and other interpersonal phenomena, have common structural signatures. One of these…

Social and Information Networks · Computer Science 2018-07-10 Babak Fotouhi , Naghmeh Momeni , Benjamin Allen , Martin A. Nowak

Microscopic strategy update rules play an important role in the evolutionary dynamics of cooperation among interacting agents on complex networks. Many previous related works only consider one \emph{fixed} rule, while in the real world,…

Optimization and Control · Mathematics 2023-11-27 Shengxian Wang , Weijia Yao , Ming Cao , Xiaojie Chen

Networks are fundamental for our understanding of complex systems. Interactions between individual nodes in networks generate network motifs - small recurrent patterns that can be considered the network's building-block components,…

Dynamical Systems · Mathematics 2022-09-14 Miri Adler , Ruslan Medzhitov

Recently several authors have proposed stochastic evolutionary models for the growth of complex networks that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to the ``rich get…

Physics and Society · Physics 2007-05-23 Trevor Fenner , Mark Levene , George Loizou

Discriminating between competing explanatory models as to which is more likely responsible for the growth of a network is a problem of fundamental importance for network science. The rules governing this growth are attributed to mechanisms…

Social and Information Networks · Computer Science 2021-04-21 Naomi A. Arnold , Raul J. Mondragon , Richard G. Clegg

Cooperation is ubiquitous across all levels of biological systems ranging from microbial communities to human societies. It, however, seemingly contradicts the evolutionary theory, since cooperators are exploited by free-riders and thus are…

Populations and Evolution · Quantitative Biology 2019-09-23 Yunming Xiao , Bin Wu

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

Links in a practical network may have different functions, which makes the original network a combination of some functional subnetworks. Here, by a model of coupled oscillators, we investigate how such functional subnetworks are evolved…

Adaptation and Self-Organizing Systems · Physics 2015-05-13 Menghui Li , Xingang Wang , Choy-Heng Lai

The lack of large-scale, continuously evolving empirical data usually limits the study of networks to the analysis of snapshots in time. This approach has been used for verification of network evolution mechanisms, such as preferential…

Physics and Society · Physics 2019-10-10 Lazaros K. Gallos , Shlomo Havlin , H. Eugene Stanley , Nina H. Fefferman

It is widely believed that fractality of complex networks origins from hub repulsion behaviors (anticorrelation or disassortativity), which means large degree nodes tend to connect with small degree nodes. This hypothesis was demonstrated…

Physics and Society · Physics 2013-11-14 Li Kuang , Bojin Zheng , Deyi Li , Yuanxiang Li , Yu Sun

We compare the likelihood of different socially relevant features to allow the evolutionary emergence and maintenance of cooperation in a generalized variant of the iterated Prisoners Dilemma game. Results show that the average…

Physics and Society · Physics 2013-11-19 Claudia Montoreano , Klaus Jaffe

We consider the coupled dynamics of the adaption of network structure and the evolution of strategies played by individuals occupying the network vertices. We propose a computational model in which each agent plays a $n$-round Prisoner's…

Physics and Society · Physics 2007-11-05 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

Understanding the role of network structure in the evolution of cooperation is a key research goal at the intersection between physics and biology. Recent studies have particularly focused on multiplex networks given that multiple social…

Physics and Society · Physics 2020-07-27 Hirofumi Takesue

When evolutionary games are contested in structured populations, the degree of each player in the network plays an important role. If they exist, hubs often determine the fate of the population in remarkable ways. Recent research based on…

Physics and Society · Physics 2016-04-15 Attila Szolnoki , Matjaz Perc