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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…

统计力学 · 物理学 2009-11-10 Marc Barthelemy , Alain Barrat , Romualdo Pastor-Satorras , Alessandro Vespignani

Several natural and theoretical networks can be broken down into smaller portions, or subgraphs corresponding to neighborhoods. The more frequent of these neighborhoods can then be understood as motifs of the network, being therefore…

物理与社会 · 物理学 2022-04-21 Guilherme S. Domingues , Eric K. Tokuda , Luciano da F. Costa

In this work we investigate the betweenness centrality in geographical networks and its relationship with network communities. We show that vertices with large betweenness define what we call characteristic betweenness paths in both modeled…

物理与社会 · 物理学 2019-02-26 Henrique Ferraz de Arruda , Cesar Henrique Comin , Luciano da Fontoura Costa

Topology of urban environments can be represented by means of graphs. We explore the graph representations of several compact urban patterns by random walks. The expected time of recurrence and the expected first passage time to a node…

物理与社会 · 物理学 2008-04-21 Ph. Blanchard , D. Volchenkov

Urban science has largely relied on universal models, rendering the heterogeneous and locally specific nature of cities effectively invisible. Here we introduce a topological framework that defines and detects localities in human mobility…

Quantification of symmetries in complex networks is typically done globally in terms of automorphisms. Extending previous methods to locally assess the symmetry of nodes is not straightforward. Here we present a new framework to quantify…

Analyzing 9,000 urban areas' street networks, we identify properties, including extreme betweenness centrality heterogeneity, that typical spatial network models fail to explain. Accordingly we propose a universal, parsimonious, generative…

物理与社会 · 物理学 2025-09-29 Marc Barthelemy , Geoff Boeing

The study of networks derived from infrastructure systems has received considerable attention, yet the accessibility of such systems, particularly within public transit networks, remains comparatively underexplored. Accessibility…

社会与信息网络 · 计算机科学 2025-12-04 Katherine Betz

Faster pathfinding in time-dependent transport networks is an important and challenging problem in navigation systems. There are two main types of transport networks: road networks for car driving and public transport route network. The…

数据结构与算法 · 计算机科学 2024-10-24 Andrii Rohovyi , Peter J. Stuckey , Toby Walsh

The network metaphor in the analysis of urban and territorial cases has a long tradition especially in transportation/land-use planning and economic geography. More recently, urban design has brought its contribution by means of the "space…

物理与社会 · 物理学 2009-11-11 Sergio Porta , Paolo Crucitti , Vito Latora

Transport processes on spatial networks are representative of a broad class of real world systems which, rather than being independent, are typically interdependent. We propose a measure of utility to capture key features that arise when…

无序系统与神经网络 · 物理学 2012-10-01 Richard G. Morris , Marc Barthelemy

A comprehensive data analysis system is implemented for the extraction of information and comparison of North American public transport systems. The system is based on network representations of the transport systems and makes use of a span…

社会与信息网络 · 计算机科学 2020-01-08 Abbas Masoumzadeh , Tilemachos Pechlivanoglou

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…

物理与社会 · 物理学 2024-09-23 Luis F Seoane

Streets networks provide an invaluable source of information about the different temporal and spatial patterns emerging in our cities. These streets are often represented as graphs where intersections are modelled as nodes and streets as…

机器学习 · 统计学 2022-11-10 Mateo Neira , Roberto Murcio

Opportunistic networks (OppNets) are modern types of intermittently connected networks in which mobile users communicate with each other via their short-range devices to share data among interested observers. In this setting, humans are the…

社会与信息网络 · 计算机科学 2020-08-14 Poria Pirozmand , Guowei Wu , Behrouz Jedari , Feng Xia

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

物理与社会 · 物理学 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

Understanding the topological characteristics of complex networks and how they affect navigability is one of the most important goals in science today, as it plays a central role in various economic, biological, ecological and social…

物理与社会 · 物理学 2020-04-29 M. S. Chaves , T. G. Mattos , A. P. F. Atman

The irreducible complexity of natural phenomena has led Graph Neural Networks to be employed as a standard model to perform representation learning tasks on graph-structured data. While their capacity to capture local and global patterns is…

机器学习 · 计算机科学 2024-02-13 Lorenzo Giusti

Urban infrastructure networks play a major role in providing reliable flows of multitude critical services demanded by citizens in modern cities. We analyzed here a database of 125 infrastructure networks, roads (RN); urban drainage…

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…

物理与社会 · 物理学 2018-09-26 Guilherme S. Domingues , Filipi N. Silva , Cesar H. Comin , Luciano da F. Costa