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Complex systems are characterized by many interacting units that give rise to emergent behavior. A particularly advantageous way to study these systems is through the analysis of the networks that encode the interactions among the system's…

Physics and Society · Physics 2019-03-21 Alberto Aleta , Yamir Moreno

We present a new layout algorithm for complex networks that combines a multi-scale approach for community detection with a standard force-directed design. Since community detection is computationally cheap, we can exploit the multi-scale…

Physics and Society · Physics 2015-03-13 Oliver Dürr , Arnd Brandenburg

We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network, which are representative of critical…

Statistical Mechanics · Physics 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Many complicated network problems can be easily understood on small networks. Difficulties arise when small networks are combined into larger ones. Fortunately, the mathematical theory of sheaves was constructed to address just this kind of…

Algebraic Topology · Mathematics 2013-08-22 Michael Robinson

Graphs emerge in almost every real-world application domain, ranging from online social networks all the way to health data and movie viewership patterns. Typically, such real-world graphs are big and dynamic, in the sense that they evolve…

Social and Information Networks · Computer Science 2022-10-11 Ekta Gujral

Networks describe a variety of interacting complex systems in social science, biology and information technology. Usually the nodes of real networks are identified not only by their connections but also by some other characteristics.…

Physics and Society · Physics 2015-05-13 Ginestra Bianconi , Paolo Pin , Matteo Marsili

Networks have attracted a burst of attention in the last decade, with applications to natural, social, and technological systems. While networks provide a powerful abstraction for investigating relationships and interactions, the…

Physics and Society · Physics 2010-04-09 Michael J. Barber , Manfred Paier , Thomas Scherngell

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

Physics and Society · Physics 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

A network representation is useful for describing the structure of a large variety of complex systems. However, most real and engineered systems have multiple subsystems and layers of connectivity, and the data produced by such systems is…

The increasing interest in complex networks research has been a consequence of several intrinsic features of this area, such as the generality of the approach to represent and model virtually any discrete system, and the incorporation of…

Network visualization allows a quick glance at how nodes (or actors) are connected by edges (or ties). A conventional network diagram of "contact tree" maps out a root and branches that represent the structure of nodes and edges, often…

Social and Information Networks · Computer Science 2014-11-04 Arnaud Sallaberry , Yang-Chih Fu , Hwai-Chung Ho , Kwan-Liu Ma

This article provides a taxonomy of current and past network modeling efforts. In all these efforts over the last few years we see a trend towards not only describing the network, but connected devices as well. This is especially current…

Networking and Internet Architecture · Computer Science 2014-03-06 Jeroen van der Ham , Mattijs Ghijsen , Paola Grosso , Cees de Laat

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

Complex networks pervade various real-world systems, from the natural environment to human societies. The essence of these networks is in their ability to transition and evolve from microscopic disorder-where network topology and node…

Social and Information Networks · Computer Science 2025-06-10 Jingtao Ding , Chang Liu , Yu Zheng , Yunke Zhang , Zihan Yu , Ruikun Li , Hongyi Chen , Jinghua Piao , Huandong Wang , Jiazhen Liu , Yong Li

Networks are essential for analyzing complex systems. However, their growing size necessitates backbone extraction techniques aimed at reducing their size while retaining critical features. In practice, selecting, implementing, and…

Social and Information Networks · Computer Science 2025-03-21 Ali Yassin , Abbas Haidar , Hocine Cherifi , Hamida Seba , Olivier Togni

Real-world networks typically exhibit several aspects, or layers, of interactions among their nodes. By permuting the role of the nodes and the layers, we establish a new criterion to construct the dual of a network. This approach allows to…

Physics and Society · Physics 2024-10-01 Charley Presigny , Marie-Constance Corsi , Fabrizio De Vico Fallani

The process of visually presenting networks is an effective way to understand entity relationships within the networks since it reveals the overall structure and topology of the network. Real networks are extremely difficult to visualize…

Social and Information Networks · Computer Science 2022-09-08 Jayamohan Pillai C. S. , Ayan Chatterjee , Geetha M. , Amitava Mukherjee

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

Comprehending complex systems by simplifying and highlighting important dynamical patterns requires modeling and mapping higher-order network flows. However, complex systems come in many forms and demand a range of representations,…

Social and Information Networks · Computer Science 2017-10-18 Daniel Edler , Ludvig Bohlin , Martin Rosvall

In this paper, I present a method to solve a node discovery problem in a networked organization. Covert nodes refer to the nodes which are not observable directly. They affect social interactions, but do not appear in the surveillance logs…

Artificial Intelligence · Computer Science 2016-11-15 Yoshiharu Maeno