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Network datasets typically exhibit certain types of statistical dependencies, such as within-dyad correlation, row and column heterogeneity, and third-order dependence patterns such as transitivity and clustering. The first two of these can…

Methodology · Statistics 2018-07-24 Peter D. Hoff

Simulations of the coevolution of many interacting species are performed using the Webworld model. The model has a realistic set of predator-prey equations that describe the population dynamics of the species for any structure of the food…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Christopher Quince , Paul G. Higgs , Alan J. McKane

We introduce a model of adaptive temporal networks whose evolution is regulated by an interplay between node activity and dynamic exchange of information through links. We study the model by using a master equation approach. Starting from a…

Physics and Society · Physics 2016-04-18 Takaaki Aoki , Luis E. C. Rocha , Thilo Gross

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 review theoretical approaches to the understanding of food webs. After an overview of the available food web data, we discuss three different classes of models. The first class comprise static models, which assign links between species…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 B. Drossel , A. J. McKane

We introduce a growing network model---the copying model---in which a new node attaches to a randomly selected target node and, in addition, independently to each of the neighbors of the target with copying probability $p$. When…

Statistical Mechanics · Physics 2016-12-14 U. Bhat , P. L. Krapivsky , R. Lambiotte , S. Redner

Link prediction is one of the fundamental problems in network analysis. In many applications, notably in genetics, a partially observed network may not contain any negative examples of absent edges, which creates a difficulty for many…

Machine Learning · Statistics 2013-01-30 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

Mechanistic models can provide an intuitive and interpretable explanation of network growth by specifying a set of generative rules. These rules can be defined by domain knowledge about real-world mechanisms governing network growth or may…

Social and Information Networks · Computer Science 2025-12-04 Maxwell H Wang , Till Hoffmann , Jukka-Pekka Onnela

Many social, technological, biological, and economical systems are best described by weighted networks, whose properties and dynamics depend not only on their structures but also on the connection weights among their nodes. However, most…

Disordered Systems and Neural Networks · Physics 2015-06-24 Chunguang Li , Guanrong Chen

In search of many social and economical systems, it is found that node strength distribution as well as degree distribution demonstrate the behavior of power-law with droop-head and heavy-tail. We present a new model for the growth of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Chuan-Ji Fu , Qing Ou , Wen Chen , Bing-Hong Wang , Ying-Di Jin , Yong-Wei Niu , Tao Zhou

We proposed an evolving network model constituted by the same nodes but different edges. The competition between nodes and different links were introduced. Scale free properties have been found in this model by continuum theory. Different…

Statistical Mechanics · Physics 2013-05-29 Jie Sun , Yizhi Ge , Sheng Li

The "power of choice" has been shown to radically alter the behavior of a number of randomized algorithms. Here we explore the effects of choice on models of tree and network growth. In our models each new node has k randomly chosen…

Statistical Mechanics · Physics 2009-11-13 Raissa M. D'Souza , Paul L. Krapivsky , Cristopher Moore

While actors in a population can interact with anyone else freely, social relations significantly influence our inclination towards particular individuals. The consequence of such interactions, however, may also form the intensity of our…

Physics and Society · Physics 2024-04-24 Xiaojin Xiong , Ziyan Zeng , Minyu Feng , Attila Szolnoki

Adaptation to dynamic conditions requires a certain degree of diversity. If all agents take the best current action, learning that the underlying state has changed and behavior should adapt will be slower. Diversity is harder to maintain…

Social and Information Networks · Computer Science 2023-05-02 Daron Acemoglu , Asuman Ozdaglar , Sarath Pattathil

We propose a novel model-selection method for dynamic networks. Our approach involves training a classifier on a large body of synthetic network data. The data is generated by simulating nine state-of-the-art random graph models for dynamic…

Social and Information Networks · Computer Science 2024-05-28 Lourens Touwen , Doina Bucur , Remco van der Hofstad , Alessandro Garavaglia , Nelly Litvak

Spreading of either information or matter can often be treated as a network problem. It can be of great importance to be able to estimate the likelihood that spreading through a network reaches essentially the entire network while still not…

Disordered Systems and Neural Networks · Physics 2009-03-09 Tomas Alarcon , Henrik Jeldtoft Jensen

We study mixing patterns in networks, meaning the propensity for nodes of different kinds to connect to one another. The phenomenon of assortative mixing, whereby nodes prefer to connect to others that are similar to themselves, has been…

Social and Information Networks · Computer Science 2019-04-24 George T. Cantwell , M. E. J. Newman

Viruses constantly undergo mutations with genomic changes. The propagation of variants of viruses is an interesting problem. We perform numerical simulations of the microscopic epidemic model based on network theory for the spread of…

Populations and Evolution · Quantitative Biology 2025-01-14 Yutaka Okabe , Akira Shudo

We introduce a network growth model based on complete redirection: a new node randomly selects an existing target node, but attaches to a random neighbor of this target. For undirected networks, this simple growth rule generates unusual,…

Physics and Society · Physics 2017-07-27 P. L. Krapivsky , S. Redner

Networks describing the interaction of the elements that constitute a complex system grow and develop via a number of different mechanisms, such as the addition and deletion of nodes, the addition and deletion of edges, as well as the…

Molecular Networks · Quantitative Biology 2010-06-09 Arend Hintze , Christoph Adami