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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

Network science is an interdisciplinary endeavor, with methods and applications drawn from across the natural, social, and information sciences. A prominent problem in network science is the algorithmic detection of tightly-connected groups…

Data Analysis, Statistics and Probability · Physics 2010-07-14 Peter J. Mucha , Thomas Richardson , Kevin Macon , Mason A. Porter , Jukka-Pekka Onnela

Topological properties of networks are widely applied to study the link-prediction problem recently. Common Neighbors, for example, is a natural yet efficient framework. Many variants of Common Neighbors have been thus proposed to further…

Social and Information Networks · Computer Science 2014-09-18 Fei Tan , Yongxiang Xia , Boyao Zhu

Networks built to model real world phenomena are characeterised by some properties that have attracted the attention of the scientific community: (i) they are organised according to community structure and (ii) their structure evolves with…

Social and Information Networks · Computer Science 2019-09-04 Giulio Rossetti , Rémy Cazabet

Topological Data Analysis (TDA) uses insights from topology to create representations of data able to capture global and local geometric and topological properties. Its methods have successfully been used to develop estimations of fractal…

Graph Neural Networks (GNNs) have achieved remarkable success across diverse applications, yet they remain limited by oversmoothing and poor performance on heterophilic graphs. To address these challenges, we introduce a novel framework…

Machine Learning · Computer Science 2025-11-19 Cristina López Amado , Tassilo Schwarz , Yu Tian , Renaud Lambiotte

We propose a complexity measure which addresses the functional flexibility of networks. It is conjectured that the functional flexibility is reflected in the topological diversity of the assigned graphs, resulting from a resolution of their…

Condensed Matter · Physics 2009-11-10 Hildegard Meyer-Ortmanns

We present a novel experimental approach based on 3D printing and X-ray computed tomography to characterize fracture aperture distribution and evolution in 3D fracture networks under varying stress loading conditions. We validate our…

Instrumentation and Detectors · Physics 2025-08-12 A. Patsoukis Dimou , Q. Lei , N. Watanabe , A. Suzuki

We propose and study a hierarchical algorithm to generate graphs having a predetermined distribution of cliques, the fully connected subgraphs. The construction mechanism may be either random or incorporate preferential attachment. We…

Physics and Society · Physics 2009-11-13 Gregor Kaczor , Claudius Gros

As a granular material is compressed, the particles and forces within the system arrange to form complex heterogeneous structures. Force chains are a prime example and are thought to constrain bulk properties such as mechanical stability…

Soft Condensed Matter · Physics 2016-09-28 Lia Papadopoulos , James Puckett , Karen E. Daniels , Danielle S. Bassett

Common experience suggests that many networks might possess community structure - division of vertices into groups, with a higher density of edges within groups than between them. Here we describe a new computer algorithm that detects…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman , M. Girvan

This paper proposes and illustrates a general framework to integrate the areas of vision research and complex networks. Each image pixel is associated to a network node and the Euclidean distance between the visual properties (e.g.…

Statistical Mechanics · Physics 2007-05-23 Luciano da Fontoura Costa

The representation of complex systems as networks is inappropriate for the study of certain problems. We show several examples of social, biological, ecological and technological systems where the use of complex networks gives very limited…

Physics and Society · Physics 2013-04-02 Ernesto Estrada , Juan A. Rodriguez-Velazquez

Analysis and modeling of networked objects are fundamental pieces of modern data mining. Most real-world networks, from biological to social ones, are known to have common structural properties. These properties allow us to model the growth…

Data Structures and Algorithms · Computer Science 2016-09-27 Takuya Akiba , Kenko Nakamura , Taro Takaguchi

The community structure of complex networks reveals both their organization and hidden relationships among their constituents. Most community detection methods currently available are not deterministic, and their results typically depend on…

Physics and Society · Physics 2012-03-29 Andrea Lancichinetti , Santo Fortunato

Many biological and man-made networked systems are characterized by the simultaneous presence of different sub-networks organized in separate layers, with links and nodes of qualitatively different types. While during the past few years…

We propose and study a set of algorithms for discovering community structure in networks -- natural divisions of network nodes into densely connected subgroups. Our algorithms all share two definitive features: first, they involve iterative…

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

The fractal nature of complex networks has received a great deal of research interest in the last two decades. Similarly to geometric fractals, the fractality of networks can also be defined with the so-called box-covering method. A network…

Physics and Society · Physics 2023-04-25 Enikő Zakar-Polyák , Marcell Nagy , Roland Molontay

This chapter overviews a recently introduced network-based model of combinatorial landscapes: Local Optima Networks (LON). The model compresses the information given by the whole search space into a smaller mathematical object that is a…

Neural and Evolutionary Computing · Computer Science 2014-02-13 Gabriela Ochoa , Sébastien Verel , Fabio Daolio , Marco Tomassini

Complex network theory has been applied to solving practical problems from different domains. In this paper, we present a general framework for complex network applications. The keys of a successful application are a thorough understanding…

Physics and Society · Physics 2015-07-22 Xiao Fan Liu , Chi Kong Tse