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The Internet is composed of routing devices connected between them and organized into independent administrative entities: the Autonomous Systems. The existence of different types of Autonomous Systems (like large connectivity providers,…

Networking and Internet Architecture · Computer Science 2016-08-08 Mariano G. Beiró , Sebastián P. Grynberg , J. Ignacio Alvarez-Hamelin

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

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

Social networks have been widely studied over the last century from multiple disciplines to understand societal issues such as inequality in employment rates, managerial performance, and epidemic spread. Today, these and many more issues…

Social and Information Networks · Computer Science 2023-06-21 Lisette Espín-Noboa , Tiago Peixoto , Fariba Karimi

Most complex systems can be captured by graphs or networks. Networks connect nodes (e.g.\ neurons) through edges (synapses), thus summarizing the system's structure. A popular way of interrogating graphs is community detection, which…

Physics and Society · Physics 2024-09-23 Luis F Seoane

We study the topological and geographic structure of the national road networks of the United States, England and Denmark. By transforming these networks into their dual representation, where roads are vertices and an edge connects two…

Physics and Society · Physics 2008-04-12 Vamsi Kalapala , Vishal Sanwalani , Aaron Clauset , Cristopher Moore

We propose a multi-phase approach to explore network structures. In this method, structure analysis is not carried out on the observed network directly. Instead, certain similarity measures of the nodes are derived from the network firstly,…

Physics and Society · Physics 2009-07-03 Xiaofeng Gong , Shuguang Guan , C. -H. Lai

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

Physics and Society · Physics 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

The discovery of small world and scale free properties of many real world networks has revolutionized the way we study, analyze, model and process networks. An important way to analyze these complex networks is to visualize them using graph…

Social and Information Networks · Computer Science 2023-04-05 Faraz Zaidi

Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order…

Social and Information Networks · Computer Science 2018-02-21 Austin R. Benson

In this paper we aim to demonstrate how physical perspective enriches usual statistical analysis when dealing with a complex system of many interacting agents of non-physical origin. To this end, we discuss analysis of urban public…

Physics and Society · Physics 2020-03-24 Yaryna Korduba , Yurij Holovatch , Robin de Regt

Road networks are characterised by several structural and geometric properties. Their topological structure determines partially its hierarchical arrangement, but since these are networks that are spatially situated and, therefore,…

Physics and Society · Physics 2017-01-30 Carlos Molinero , Roberto Murcio , Elsa Arcaute

The topology of any complex system is key to understanding its structure and function. Fundamentally, algebraic topology guarantees that any system represented by a network can be understood through its closed paths. The length of each path…

Methodology · Statistics 2017-05-17 Pierre-André G. Maugis , Sofia C. Olhede , Patrick J. Wolfe

Large-scale networks of human interaction, in particular country-wide telephone call networks, can be used to redraw geographical maps by applying algorithms of topological community detection. The geographic projections of the emerging…

Social and Information Networks · Computer Science 2013-12-23 Stanislav Sobolevsky , Michael Szell , Riccardo Campari , Thomas Couronné , Zbigniew Smoreda , Carlo Ratti

We review measures of street network structure proposed in the recent literature, establish their relevance to practice, and identify open challenges facing researchers. These measures' empirical values vary substantially across world…

Physics and Society · Physics 2024-09-13 Marc Barthelemy , Geoff Boeing

The Internet topology is of high importance in designing networks and architectures, evaluating performance, and economics. Interconnections between domains (ASes), routers, and points of presence (PoPs), have been measured, analyzed, and…

Networking and Internet Architecture · Computer Science 2017-06-27 Pavlos Sermpezis , George Nomikos , Xenofontas Dimitropoulos

The models of the Internet reported in the literature are mainly aimed at reproducing the scale-free structure, the high clustering coefficient and the small world effects found in the real Internet, while other important properties (e.g.…

Physics and Society · Physics 2011-11-10 F. A. Rodrigues , P. R. Villas Boas , G. Travieso , L. da F. Costa

Due to the advent of the expressions of data other than tabular formats, the topological compositions which make samples interrelated came into prominence. Analogically, those networks can be interpreted as social connections, dataflow…

Social and Information Networks · Computer Science 2023-01-27 Hacı İsmail Aslan , Chang Choi , Hoon Ko

In transportation network analysis, various types of road network data can be used even when focusing on the same region. Since different road network datasets can make different performance in analyses, it is necessary to compare them and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Hengyi Zhong , Toru Seo

The importance of modeling and analyzing Social Networks is a consequence of the success of Online Social Networks during last years. Several models of networks have been proposed, reflecting the different characteristics of Social…

Social and Information Networks · Computer Science 2012-02-03 Emilio Ferrara , Giacomo Fiumara

The topological (graph) structure of complex networks often provides valuable information about the performance and vulnerability of the network. However, there are multiple ways to represent a given network as a graph. Electric power…

Physics and Society · Physics 2014-05-20 Eduardo Cotilla-Sanchez , Paul D. H. Hines , Clayton Barrows , Seth Blumsack