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We study a material modeled as a network of nodes connected by edges. Using a discrete approach, we build a nonlinear algebraic system that connects applied forces to internal forces and node positions. The model can describe elasticity,…

Optimization and Control · Mathematics 2025-10-14 Ioannis Dassios

Hierarchies permeate the structure of real networks, whose nodes can be ranked according to different features. However, networks are far from tree-like structures and the detection of hierarchical ordering remains a challenge, hindered by…

Physics and Society · Physics 2020-10-07 Elisenda Ortiz , Guillermo García-Pérez , M. Ángeles Serrano

We introduce a model for yielding, inspired by fracture models and the failure of a sheared granular medium in which the applied shear is resisted by self-organized force chains. The force chains in the granular medium (GM) are considered…

Statistical Mechanics · Physics 2015-05-14 Fergal Dalton , Alberto Petri , Giorgio Pontuale

Urban structure detection is a basic task in urban geography. Clustering is a core technology to detect the patterns of urban spatial structure, urban functional region, and so on. In big data era, diverse urban sensing datasets recording…

Social and Information Networks · Computer Science 2017-07-13 Xin Lin , Haifeng Li , Yan Zhang , Lei Gao , Ling Zhao , Min Deng

Communities are clusters of nodes with a higher than average density of internal connections. Their detection is of great relevance to better understand the structure and hierarchies present in a network. Modularity has become a standard…

Physics and Society · Physics 2015-03-17 Filippo Radicchi , Andrea Lancichinetti , José J. Ramasco

The relation between packing geometry and force network statistics is studied for granular media. Based on simulations of two-dimensional packings of Hertzian spheres, we develop a geometrical framework relating the distribution of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jacco H. Snoeijer , Martin van Hecke , Ellak Somfai , Wim van Saarloos

Under an externally applied load, granular packings form force chains that depend on the contact network and moduli of the grains. In this work, we investigate packings of variable modulus (VM) particles, where we can direct force chains by…

We introduce an approach to partitioning networks into communities that not only determines the best community structure, but also provides a range of characterization techniques to assess how significant that structure is. We study the…

Statistical Mechanics · Physics 2007-05-23 Claire P. Massen , Jonathan P. K. Doye

The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from disciplines such as materials science, nonlinear dynamics,…

Pattern Formation and Solitons · Physics 2017-10-11 C. Chong , Mason A. Porter , P. G. Kevrekidis , C. Daraio

Community detection is an important task in network analysis, in which we aim to learn a network partition that groups together vertices with similar community-level connectivity patterns. By finding such groups of vertices with similar…

Machine Learning · Statistics 2015-05-25 Christopher Aicher , Abigail Z. Jacobs , Aaron Clauset

Currently, we are overwhelmed by a deluge of experimental data, and network physics has the potential to become an invaluable method to increase our understanding of large interacting datasets. However, this potential is often unrealized…

Data Analysis, Statistics and Probability · Physics 2017-10-30 Juyong Lee , Steven P. Gross , Jooyoung Lee

The strength of granular materials is highly dependent on grain connectivity (fabric), force transmission, and frictional mobilization at the particle scale. Furthermore, these bulk properties are strongly dependent on the geometry and…

Soft Condensed Matter · Physics 2025-06-12 Carmen Lee , Émilien Azéma , Karen Daniels

Many methods have been proposed for community detection in networks, but most of them do not take into account additional information on the nodes that is often available in practice. In this paper, we propose a new joint community…

Machine Learning · Statistics 2016-12-13 Yuan Zhang , Elizaveta Levina , Ji Zhu

Many real-world networks such as the gene networks, protein-protein interaction networks and metabolic networks exhibit community structures, meaning the existence of groups of densely connected vertices in the networks. Many local…

Physics and Society · Physics 2016-03-25 Ju Xiang , Ke Hu , Yan Zhang , Mei-Hua Bao , Liang Tang , Yan-Ni Tang , Yuan-Yuan Gao , Jian-Ming Li , Benyan Chen , Jing-Bo Hu

In this paper we discuss a very simple approach of combining content and link information in graph structures for the purpose of community discovery, a fundamental task in network analysis. Our approach hinges on the basic intuition that…

Social and Information Networks · Computer Science 2012-12-04 Yiye Ruan , David Fuhry , Srinivasan Parthasarathy

Atomic packing is an important metric for characterizing protein structures, as it significantly influences various features including the stability, the rate of evolution and the functional roles of proteins. Packing in protein structures…

Biomolecules · Quantitative Biology 2025-05-27 Sotirios Touliopoulos , Nicholas M. Glykos

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 bipartite network appears in various areas, such as biology, sociology, physiology, and computer science. \cite{rohe2016co} proposed Stochastic co-Blockmodel (ScBM) as a tool for detecting community structure of binary bipartite graph…

Machine Learning · Statistics 2023-05-31 Huan Qing , Jingli Wang

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

We consider two (2D) and three (3D) dimensional granular systems exposed to compression, and ask what is the influence of the number of physical dimensions on the properties of the interaction networks that spontaneously form as these…

Soft Condensed Matter · Physics 2022-03-22 L. Kovalcinova , A. Taranto , L. Kondic