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The identification of nodes occupying important positions in a network structure is crucial for the understanding of the associated real-world system. Usually, betweenness centrality is used to evaluate a node capacity to connect different…

Complex networks are usually characterized in terms of their topological, spatial, or information-theoretic properties and combinations of the associated metrics are used to discriminate networks into different classes or categories.…

Data Analysis, Statistics and Probability · Physics 2017-10-25 Marc Wiedermann , Jonathan F. Donges , Jürgen Kurths , Reik V. Donner

Driven by growing interest in the sciences, industry, and among the broader public, a large number of empirical studies have been conducted in recent years of the structure of networks ranging from the internet and the world wide web to…

Social and Information Networks · Computer Science 2018-06-08 M. E. J. Newman

A central issue of the science of complex systems is the quantitative characterization of complexity. In the present work we address this issue by resorting to information geometry. Actually we propose a constructive way to associate to a -…

Mathematical Physics · Physics 2017-12-19 Roberto Franzosi , Domenico Felice , Stefano Mancini , Marco Pettini

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

Disordered Systems and Neural Networks · Physics 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

Weight thresholding is a simple technique that aims at reducing the number of edges in weighted networks that are otherwise too dense for the application of standard graph theoretical methods. We show that the group structure of real…

Physics and Society · Physics 2018-10-17 Xiaoran Yan , Lucas G. S. Jeub , Alessandro Flammini , Filippo Radicchi , Santo Fortunato

As individuals communicate, their exchanges form a dynamic network. We demonstrate, using time series analysis of communication in three online settings, that network structure alone can be highly revealing of the diversity and novelty of…

Social and Information Networks · Computer Science 2012-05-23 Chun-Yuen Teng , Liuling Gong , Avishay Livne , Celso Brunetti , Lada A. Adamic

Identifying and explaining the structure of complex networks at different scales has become an important problem across disciplines. At the mesoscale, modular architecture has attracted most of the attention. At the macroscale, other…

Physics and Society · Physics 2018-11-09 María J. Palazzi , Javier Borge-Holthoefer , Claudio Tessone , Albert Solé-Ribalta

Systematic relations between multiple objects that occur in various fields can be represented as networks. Real-world networks typically exhibit complex topologies whose structural properties are key factors in characterizing and further…

Physics and Society · Physics 2021-04-09 Yoshihisa Tanaka , Ryosuke Kojima , Shoichi Ishida , Fumiyoshi Yamashita , Yasushi Okuno

We propose a new deep network structure for unconstrained face recognition. The proposed network integrates several key components together in order to characterize complex data distributions, such as in unconstrained face images. Inspired…

Computer Vision and Pattern Recognition · Computer Science 2019-03-20 Qiangchang Wang , Guodong Guo , Mohammad Iqbal Nouyed

Bayesian neural networks (BNNs) augment deep networks with uncertainty quantification by Bayesian treatment of the network weights. However, such models face the challenge of Bayesian inference in a high-dimensional and usually…

Machine Learning · Computer Science 2021-03-30 Zhijie Deng , Yucen Luo , Jun Zhu , Bo Zhang

A typical complex system should be described by a supernetwork or a network of networks, in which the networks are coupled to some other networks. As the first step to understanding the complex systems on such more systematic level,…

Physics and Society · Physics 2015-05-20 Xiu-Lian Xu , Yan-Qin Qu , Shan Guan , Yu-Mei Jiang , Da-Ren He

Complex networks grow subject to structural constraints which affect their measurable properties. Assessing the effect that such constraints impose on their observables is thus a crucial aspect to be taken into account in their analysis. To…

Physics and Society · Physics 2014-07-31 Oleguer Sagarra , Francesc Font-Clos , Conrad J. Pérez-Vicente , Albert Díaz-Guilera

Graph comparison plays a major role in many network applications. We often need a similarity metric for comparing networks according to their structural properties. Various network features - such as degree distribution and clustering…

Social and Information Networks · Computer Science 2013-07-16 Sadegh Aliakbary , Sadegh Motallebi , Jafar Habibi , Ali Movaghar

Complex systems are large collections of entities that organize themselves into non-trivial structures that can be represented by networks. A key emergent property of such systems is robustness against random failures or targeted attacks…

Physics and Society · Physics 2021-06-14 Arsham Ghavasieh , Massimo Stella , Jacob Biamonte , Manlio De Domenico

We review measures of street network structure proposed in the recent literature, establish their relevance to practice, and identify open challenges facing researchers. These measures' empirical values vary substantially across world…

Physics and Society · Physics 2024-09-13 Marc Barthelemy , Geoff Boeing

There are several centrality measures that have been introduced and studied for real world networks. They account for the different vertex characteristics that permit them to be ranked in order of importance in the network. Betweenness…

Combinatorics · Mathematics 2014-03-20 Sunil Kumar R , Kannan Balakrishnan , M. Jathavedan

Analytical approaches to model the structure of complex networks can be distinguished into two groups according to whether they consider an intensive (e.g., fixed degree sequence and random otherwise) or an extensive (e.g., adjacency…

Physics and Society · Physics 2019-02-13 Antoine Allard , Laurent Hébert-Dufresne

For most networks, the connection between two nodes is the result of their mutual affinity and attachment. In this paper, we propose a mutual selection model to characterize the weighted networks. By introducing a general mechanism of…

Statistical Mechanics · Physics 2009-11-11 Wen-Xu Wang , Bu Hu , Tao Zhou , Bing-Hong Wang , Yan-Bo Xie

A good deal of current research in complex networks involves the characterization and/or classification of the topological properties of given structures, which has motivated several respective measurements. This letter proposes a framework…

Physics and Society · Physics 2016-07-26 Cesar H. Comin , Filipi N. Silva , Luciano da F. Costa