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A complex network is said to show topological isotropy if the topological structure around a particular node looks the same in all directions of the whole network. Topologically anisotropic networks are those where the local neighborhood…

Statistical Mechanics · Physics 2013-04-02 Ernesto Estrada

Large knowledge graphs combine human knowledge garnered from projects ranging from academia and institutions to enterprises and crowdsourcing. Within such graphs, each relationship between two nodes represents a basic fact involving these…

Artificial Intelligence · Computer Science 2024-06-11 Loïck Lhote , Béatrice Markhoff , Arnaud Soulet

Generative mechanisms which lead to empirically observed structure of networked systems from diverse fields like biology, technology and social sciences form a very important part of study of complex networks. The structure of many…

Physics and Society · Physics 2015-12-03 Snehal M. Shekatkar , G. Ambika

The understanding of the immense and intricate topological structure of the World Wide Web (WWW) is a major scientific and technological challenge. This has been tackled recently by characterizing the properties of its representative graphs…

Networking and Internet Architecture · Computer Science 2008-01-23 M. Angeles Serrano , Ana Maguitman , Marian Boguna , Santo Fortunato , Alessandro Vespignani

Networks are fundamental for our understanding of complex systems. Interactions between individual nodes in networks generate network motifs - small recurrent patterns that can be considered the network's building-block components,…

Dynamical Systems · Mathematics 2022-09-14 Miri Adler , Ruslan Medzhitov

A small-world topology characterizes many complex systems including the structural and functional organization of brain networks. The topology allows simultaneously for local and global efficiency in the interaction of the system…

Physics and Society · Physics 2015-05-30 Sinisa Pajevic , Dietmar Plenz

Several fundamental properties of real complex networks, such as the small-world effect, the scale-free degree distribution, and recently discovered topological fractal structure, have presented the possibility of a unique growth mechanism…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Liuhua Zou , Wenjiang Pei , Tao Li , Zhenya He , Yiuming Cheung

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

Physics and Society · Physics 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

The connectivity structure of graphs is typically related to the attributes of the nodes. In social networks for example, the probability of a friendship between two people depends on their attributes, such as their age, address, and…

Social and Information Networks · Computer Science 2020-02-06 Junning Deng , Bo Kang , Jefrey Lijffijt , Tijl De Bie

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

Designing algorithms that generate networks with a given degree sequence while varying both subgraph composition and distribution of subgraphs around nodes is an important but challenging research problem. Current algorithms lack control of…

Physics and Society · Physics 2015-12-07 Martin Ritchie , Luc Berthouze , Istvan Z Kiss

Interactions between units in phyical, biological, technological, and social systems usually give rise to intrincate networks with non-trivial structure, which critically affects the dynamics and properties of the system. The focus of most…

Data Analysis, Statistics and Probability · Physics 2007-05-23 R. Guimera , M. Sales-Pardo , L. A. N. Amaral

Many real networks in nature and society share two generic properties: they are scale-free and they display a high degree of clustering. We show that these two features are the consequence of a hierarchical organization, implying that small…

Statistical Mechanics · Physics 2009-11-07 Erzsebet Ravasz , Albert-Laszlo Barabasi

We study collaboration networks in terms of evolving, self-organizing bipartite graph models. We propose a model of a growing network, which combines preferential edge attachment with the bipartite structure, generic for collaboration…

Statistical Mechanics · Physics 2009-11-10 Jose J. Ramasco , S. N. Dorogovtsev , Romualdo Pastor-Satorras

The recent discovery of universal principles underlying many complex networks occurring across a wide range of length scales in the biological world has spurred physicists in trying to understand such features using techniques from…

Biological Physics · Physics 2015-05-13 Sitabhra Sinha

The topological organization of several world cities are studied according to respective representations by complex networks. As a first step, the city maps are processed by a recently developed methodology that allows the most significant…

Physics and Society · Physics 2018-09-26 Guilherme S. Domingues , Filipi N. Silva , Cesar H. Comin , Luciano da F. Costa

The characterization of large-scale structural organization of social networks is an important interdisciplinary problem. We show, by using scaling analysis and numerical computation, that the following factors are relevant for models of…

Disordered Systems and Neural Networks · Physics 2009-11-10 Adilson E. Motter , Takashi Nishikawa , Ying-Cheng Lai

Complex network theory has recently been proposed as a promising tool for characterising interactions between aircraft, and their downstream effects. We here explore the problem of networks' topological predictability, i.e. the dependence…

Physics and Society · Physics 2025-05-01 Raúl López-Martín , Massimiliano Zanin

Networks have in recent years emerged as an invaluable tool for describing and quantifying complex systems in many branches of science. Recent studies suggest that networks often exhibit hierarchical organization, where vertices divide into…

Machine Learning · Statistics 2008-11-05 Aaron Clauset , Cristopher Moore , M. E. J. Newman

Complex networks are a powerful modeling tool, allowing the study of countless real-world systems. They have been used in very different domains such as computer science, biology, sociology, management, etc. Authors have been trying to…

Social and Information Networks · Computer Science 2014-02-04 Burcu Kantarcı , Vincent Labatut