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As two main focuses of the study of complex networks, the community structure and the dynamics on networks have both attracted much attention in various scientific fields. However, it is still an open question how the community structure is…

Physics and Society · Physics 2010-05-11 Xue-Qi Cheng , Hua-Wei Shen

Network science plays an increasingly important role to model complex data in many scientific disciplines. One notable feature of network organization is community structure, which refers to clusters of tightly interconnected nodes. A…

Social and Information Networks · Computer Science 2016-03-18 Dimitri Van De Ville

This paper employs a weighted network approach to study the empirical properties of the web of trade relationships among world countries, and its evolution over time. We show that most countries are characterized by weak trade links; yet,…

Social and Information Networks · Computer Science 2018-03-21 Maddalena D'Anna , Alfredo Petrosino

International trade is based on a set of complex relationships between different countries that can be modelled as an extremely dense network of interconnected agents. On the one hand, this network might favour the economic growth of…

General Economics · Economics 2024-04-08 Roberto Antonietti , Paolo Falbo , Fulvio Fontini , Rosanna Grassi , Giorgio Rizzini

Many real-world networks, including nervous systems, exhibit meso-scale structure. This means that their elements can be grouped into meaningful sub-networks. In general, these sub-networks are unknown ahead of time and must be "discovered"…

Neurons and Cognition · Quantitative Biology 2020-11-16 Richard F. Betzel

Much effort has gone into understanding the modular nature of complex networks. Communities, also known as clusters or modules, are typically considered to be densely interconnected groups of nodes that are only sparsely connected to other…

Physics and Society · Physics 2012-06-26 James P. Bagrow

Modularity maximization has been one of the most widely used approaches in the last decade for discovering community structure in networks of practical interest in biology, computing, social science, statistical mechanics, and more.…

Physics and Society · Physics 2017-11-10 David Mehrle , Amy Strosser , Anthony Harkin

The "clumpiness" matrix of a network is used to develop a method to identify its community structure. A "projection space" is constructed from the eigenvectors of the clumpiness matrix and a border line is defined using some kind of angular…

Physics and Society · Physics 2015-05-28 Ali Faqeeh , Keivan Aghababaei Samani

Achieving international food security requires improved understanding of how international trade networks connect countries around the world through the import-export flows of food commodities. The properties of food trade networks are…

General Finance · Quantitative Finance 2017-11-20 Sofia Torreggiani , Giuseppe Mangioni , Michael J. Puma , Giorgio Fagiolo

Statistical significance of network clustering has been an unresolved problem since it was observed that community detection algorithms produce false positives even in random graphs. After a phase transition between undetectable and…

Social and Information Networks · Computer Science 2016-05-03 Jeremi K. Ochab

We consider the problem of detecting communities or modules in networks, groups of vertices with a higher-than-average density of edges connecting them. Previous work indicates that a robust approach to this problem is the maximization of…

Data Analysis, Statistics and Probability · Physics 2007-05-23 M. E. J. Newman

Community detection emerges as an important task in the discovery of network mesoscopic structures. However, the concept of a "good" community is very context-dependent and it is relatively complicated to deduce community characteristics…

Social and Information Networks · Computer Science 2018-06-06 Vinh-Loc Dao , Cécile Bothorel , Philippe Lenca

The problem of clustering large complex networks plays a key role in several scientific fields ranging from Biology to Sociology and Computer Science. Many approaches to clustering complex networks are based on the idea of maximizing a…

Social and Information Networks · Computer Science 2013-10-17 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Alessandro Provetti

Mesoscale structures are an integral part of the abstraction and analysis of complex systems. They reveal a node's function in the network, and facilitate our understanding of the network dynamics. For example, they can represent…

Methodology · Statistics 2023-01-27 Luka V. Petrović , Vincenzo Perri

A number of recent studies have focused on the statistical properties of networked systems such as social networks and the World-Wide Web. Researchers have concentrated particularly on a few properties which seem to be common to many…

Statistical Mechanics · Physics 2009-11-07 Michelle Girvan , M. E. J. Newman

Community structure is one of the key properties of complex networks and plays a crucial role in their topology and function. While an impressive amount of work has been done on the issue of community detection, very little attention has…

Physics and Society · Physics 2010-09-17 Andrea Lancichinetti , Mikko Kivela , Jari Saramaki , Santo Fortunato

The new concept of multilevel network is introduced in order to embody some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classical models. This new model, which…

Our recent paper [Grauwin et al. Sci. Rep. 7 (2017)] demonstrates that community and hierarchical structure of the networks of human interactions largely determines the least and should be taken into account while modeling them. In the…

Social and Information Networks · Computer Science 2017-12-18 Stanislav Sobolevsky

The paper applies some recent developments of network analysis in order to perform a comparative study of EU countries in relation with the fluctuations of some macroeconomic indicators. The statistical distances between countries,…

Physics and Society · Physics 2007-05-23 Mircea Gligor , Marcel Ausloos

This study uses hierarchical structure methods (minimal spanning tree, (MST) and hierarchical tree, (HT)) to examine the hierarchical structures of the United State (US) foreign trade by using the real prices of their commodity export and…

Statistical Finance · Quantitative Finance 2014-06-30 Ersin Kantar