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We propose generalizations of a number of standard network models, including the classic random graph, the configuration model, and the stochastic block model, to the case of time-varying networks. We assume that the presence and absence of…

Social and Information Networks · Computer Science 2018-05-02 Xiao Zhang , Cristopher Moore , M. E. J. Newman

Community structure in networks is often a consequence of homophily, or assortative mixing, based on some attribute of the vertices. For example, researchers may be grouped into communities corresponding to their research topic. This is…

Physics and Society · Physics 2012-02-15 Steve Gregory

The organizational principles behind the connectivity of a complex network are known to influence its behavior. In this work we investigate, using the Hopfield model, the influence of the network architecture on the performance for…

Disordered Systems and Neural Networks · Physics 2007-05-23 E. P. Rodrigues , M. S. Barbosa , L. da F. Costa

Community detecting is one of the main approaches to understanding networks \cite{For2010}. However it has been a longstanding challenge to give a definition for community structures of networks. Here we found that community structures are…

Social and Information Networks · Computer Science 2013-11-01 Angsheng Li , Jiankou Li , Yicheng Pan

The study of community networks has attracted considerable attention recently. In this paper, we propose an evolving community network model based on local processes, the addition of new nodes intra-community and new links intra- or…

Physics and Society · Physics 2009-11-13 Xin-Jian Xu , Xun Zhang , J. F. F. Mendes

Robustness of ecological flow networks under random failure of arcs is considered with respect to two different functionalities: coherence and circulation. In our previous work, we showed that each functionality is associated with a natural…

Populations and Evolution · Quantitative Biology 2013-06-27 Taichi Haruna

In this paper we investigate phenomena of spontaneous emergence or purposeful formation of highly organized structures in networks of related agents. We show that the formation of large organized structures requires exponentially large, in…

Cryptography and Security · Computer Science 2023-04-11 V. Liagkou , P. E. Nastou , P. Spirakis , Y. C. Stamatiou

Analysis of networks and in particular discovering communities within networks has been a focus of recent work in several fields, with applications ranging from citation and friendship networks to food webs and gene regulatory networks.…

Methodology · Statistics 2015-05-19 Yunpeng Zhao , Elizaveta Levina , Ji Zhu

Detecting and evaluating regions of brain under various circumstances is one of the most interesting topics in computational neuroscience. However, the majority of the studies on detecting communities of a functional connectivity network of…

Social and Information Networks · Computer Science 2018-06-04 Keivan Hassani Monfared , Kris Vasudevan , Jordan S. Farrell , G. Campbell Teskey

Recent work on self-organized remodeling of vasculature in slime-mold, leaf venation systems and vessel systems in vertebrates has put forward a plethora of potential adaptation mechanisms. All these share the underlying hypothesis of a…

Biological Physics · Physics 2020-11-11 Felix Kramer , Carl D. Modes

We study a simplified stochastic model for the vascularization of a growing tumor, incorporating the formation of new blood vessels at the tumor periphery as well as their regression in the tumor center. The resulting morphology of the…

Cell Behavior · Quantitative Biology 2009-09-16 Raja Paul

The connections in many networks are not merely binary entities, either present or not, but have associated weights that record their strengths relative to one another. Recent studies of networks have, by and large, steered clear of such…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

Random walks play an important role in probing the structure of complex networks. On traditional networks, they can be used to extract community structure, understand node centrality, perform link prediction, or capture the similarity…

Physics and Society · Physics 2024-06-13 Shazia'Ayn Babul , Yu Tian , Renaud Lambiotte

The study of time-varying (dynamic) networks (graphs) is of fundamental importance for computer network analytics. Several methods have been proposed to detect the effect of significant structural changes in a time series of graphs. The…

Social and Information Networks · Computer Science 2017-07-25 Peter Wills , Francois G. Meyer

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

Statistical Mechanics · Physics 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

In an increasingly interconnected world, understanding and summarizing the structure of these networks becomes increasingly relevant. However, this task is nontrivial; proposed summary statistics are as diverse as the networks they…

Statistics Theory · Mathematics 2020-04-15 Lee M. Gunderson , Gecia Bravo-Hermsdorff

Anomaly detection algorithms are a valuable tool in network science for identifying unusual patterns in a network. These algorithms have numerous practical applications, including detecting fraud, identifying network security threats, and…

Social and Information Networks · Computer Science 2023-09-22 Hadiseh Safdari , Martina Contisciani , Caterina De Bacco

Real-world complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in…

Adaptation and Self-Organizing Systems · Physics 2019-07-05 Deniz Eroglu , Matteo Tanzi , Sebastian van Strien , Tiago Pereira

We study the problem of inferring network topology from information cascades, in which the amount of time taken for information to diffuse across an edge in the network follows an unknown distribution. Unlike previous studies, which assume…

Social and Information Networks · Computer Science 2019-03-05 Feng Ji , Wenchang Tang , Wee Peng Tay , Edwin K. P. Chong

Any network studied in the literature is inevitably just a sampled representative of its real-world analogue. Additionally, network sampling is lately often applied to large networks to allow for their faster and more efficient analysis.…

Social and Information Networks · Computer Science 2015-04-14 Neli Blagus , Lovro Šubelj , Gregor Weiss , Marko Bajec
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