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There is considerable long-term interest in understanding the dynamics of collaboration networks, and how these networks form and evolve over time. Most of the work done on the dynamics of social networks focuses on well-established…

数字图书馆 · 计算机科学 2017-05-17 Katharine A Anderson , Matthew Crespi , Eleanor C Sayre

We investigate the growth of connectivity in a network. In our model, starting with a set of disjoint nodes, links are added sequentially. Each link connects two nodes, and the connection rate governing this random process is proportional…

统计力学 · 物理学 2012-02-16 E. Ben-Naim , P. L. Krapivsky

Ideas, behaviors, and opinions spread through social networks. If the probability of spreading to a new individual is a non-linear function of the fraction of the individuals' affected neighbors, such a spreading process becomes a "complex…

物理与社会 · 物理学 2023-08-30 Julian Kates-Harbeck , Michael M. Desai

Many of the biological, social and man-made networks around us are inherently dynamic, with their links switching on and off over time. The evolution of these networks is often non-Markovian, and the dynamics of their links correlated.…

统计力学 · 物理学 2021-07-23 Oliver E. Williams , Piero Mazzarisi , Fabrizio Lillo , Vito Latora

Traditional mathematical models of epidemic disease had for decades conventionally considered static structure for contacts. Recently, an upsurge of theoretical inquiry has strived towards rendering the models more realistic by…

物理与社会 · 物理学 2016-01-20 Babak Fotouhi , Mehrdad Khani Shirkoohi

Neuronal networks constitute a special class of dynamical systems, as they are formed by individual geometrical components, namely the neurons. In the existing literature, relatively little attention has been given to the influence of…

神经元与认知 · 定量生物学 2015-05-13 Sebastian Ahnert , Luciano da Fontoura Costa

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…

社会与信息网络 · 计算机科学 2014-09-19 Yang Yang , Yuxiao Dong , Nitesh V. Chawla

Three models of growing random networks with fitness dependent growth rates are analysed using the rate equations for the distribution of their connectivities. In the first model (A), a network is built by connecting incoming nodes to nodes…

统计力学 · 物理学 2009-11-07 G. Ergun , G. J. Rodgers

We study the evolution of a random weighted network with complex nonlinear dynamics at each node, whose activity may cease as a result of interactions with other nodes. Starting from a knowledge of the micro-level behaviour at each node, we…

统计力学 · 物理学 2007-05-23 Sitabhra Sinha , Sudeshna Sinha

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

社会与信息网络 · 计算机科学 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in…

统计力学 · 物理学 2007-05-23 Dafang Zheng , Guler Ergun

The ability to achieve coordinated behavior --engineered or emergent-- on networked systems has attracted widespread interest over several fields. This has led to remarkable advances on the development of a theoretical understanding of the…

系统与控制 · 计算机科学 2019-09-16 Hancheng Min , Enrique Mallada

Social networking websites allow users to create and share content. Big information cascades of post resharing can form as users of these sites reshare others' posts with their friends and followers. One of the central challenges in…

社会与信息网络 · 计算机科学 2016-01-28 Qingyuan Zhao , Murat A. Erdogdu , Hera Y. He , Anand Rajaraman , Jure Leskovec

Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

统计力学 · 物理学 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis

The study of human interactions is of central importance for understanding the behavior of individuals, groups and societies. Here, we observe the formation and evolution of networks by monitoring the addition of all new links and we…

物理与社会 · 物理学 2013-02-01 Lazaros K. Gallos , Diego Rybski , Fredrik Liljeros , Shlomo Havlin , Hernan A. Makse

In this paper we present a model for the growth and evolution of Internet providers. The model reproduces the data observed for the Internet connection as probed by tracing routes from different computers. This problem represents a…

无序系统与神经网络 · 物理学 2009-11-07 A. Capocci , G. Caldarelli , R. Marchetti , L. Pietronero

In this study we introduce and analyze the statistical structural properties of a model of growing networks which may be relevant to social networks. At each step a new node is added which selects 'k' possible partners from the existing…

统计力学 · 物理学 2009-11-10 Laszlo Zalanyi , Gabor Csardi , Tamas Kiss , Mate Lengyel , Rebecca Warner , Jan Tobochnik , Peter Erdi

We propose a growing network model for a community with a group structure. The community consists of individual members and groups, gatherings of members. The community grows as a new member is introduced by an existing member at each time…

其他凝聚态物理 · 物理学 2007-05-23 Jae Dong Noh , Hyeong-Chai Jeong , Yong-Yeol Ahn , Hawoong Jeong

Most infectious diseases spread on a dynamic network of human interactions. Recent studies of social dynamics have provided evidence that spreading patterns may depend strongly on detailed micro-dynamics of the social system. We have…

物理与社会 · 物理学 2015-09-23 Arkadiusz Stopczynski , Alex Sandy Pentland , Sune Lehmann

A longitudinal social network evolves over time through the creation and/ or deletion of links among a set of actors (e.g. individuals or organizations). Longitudinal social networks are studied by network science and social science…

社会与信息网络 · 计算机科学 2013-11-04 Shahadat Uddin , Mahendra Piraveenan , Arif Khan , Babak Amiri