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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…

Physics and Society · Physics 2022-04-21 Guilherme S. Domingues , Eric K. Tokuda , Luciano da F. Costa

Stars and cycles are basic structures in network construction. The former has been well studied in network analysis, while the latter attracted rare attention. A node together with its neighbors constitute a neighborhood star-structure…

Physics and Society · Physics 2019-03-13 Tianlong Fan , Linyuan Lü , Dinghua Shi

The application of the network approach to the urban case poses several questions in terms of how to deal with metric distances, what kind of graph representation to use, what kind of measures to investigate, how to deepen the correlation…

Other Condensed Matter · Physics 2007-05-23 Sergio Porta , Paolo Crucitti , Vito Latora

In this paper, we employ the decomposition of a directed network as an undirected graph plus its associated node metadata to characterise the cyclic structure found in directed networks by finding a Minimal Cycle Basis of the undirected…

Social and Information Networks · Computer Science 2022-04-06 Vaiva Vasiliauskaite , Tim S. Evans , Paul Expert

In the field of urban planning, road network system planning is often the first step and the main purpose of urban planning is to create a spatial configuration of different functions such as residence, education, business, etc. Generally…

Physics and Society · Physics 2022-11-04 Huidan Xiao , Tao Yang

Recent theoretical and empirical studies have focused on the structural properties of complex relational networks in social, biological and technological systems. Here we study the basic properties of twenty 1-square-mile samples of street…

Physics and Society · Physics 2009-11-11 Alessio Cardillo , Salvatore Scellato , Vito Latora , Sergio Porta

This article analyzes the complex geometry of urban transportation networks as a gateway to understanding their encompassing urban systems. Using a proposed ring-buffer approach and applying it to 50 urban areas in the United States, we…

Physics and Society · Physics 2015-07-20 Farideddin Peiravian , Sybil Derrible

Urban road networks are typical complex systems, which are crucial to our society and economy. In this study, topological characteristics of a number of urban road networks based on purely physical roads rather than routes of vehicles or…

Physics and Society · Physics 2019-07-30 Wen-Long Shang , Huibo Bi , Yanyan Chen , Washington Ochieng

A cycle basis in an undirected graph is a minimal set of simple cycles whose symmetric differences include all Eulerian subgraphs of the given graph. We define a rooted cycle basis to be a cycle basis in which all cycles contain a specified…

Data Structures and Algorithms · Computer Science 2015-04-21 David Eppstein , J. Michael McCarthy , Brian E. Parrish

We study centrality in urban street patterns of different world cities represented as networks in geographical space. The results indicate that a spatial analysis based on a set of four centrality indices allows an extended visualization…

Physics and Society · Physics 2009-11-11 Paolo Crucitti , Vito Latora , Sergio Porta

The structure of road networks plays a pivotal role in shaping transportation dynamics. It also provides insights into how drivers experience city streets and helps uncover each urban environment's unique characteristics and challenges.…

Social and Information Networks · Computer Science 2025-11-11 Anu Kuncheria , Joan L. Walker , Jane Macfarlane

Analysis of complex networks, particularly material networks such as the carbon skeleton of hydrocarbons generated in hydrocarbon pyrolysis in carbon-rich systems, is essential for effectively describing, modeling, and predicting their…

Combinatorics · Mathematics 2025-11-14 Perrin E. Ruth , Maria K. Cameron

This article explores the relationship between communities and short cycles in complex networks, based on the fact that nodes more densely connected amongst one another are more likely to be linked through short cycles. By identifying…

Disordered Systems and Neural Networks · Physics 2007-05-23 James Bagrow , Erik Bollt , Luciano da F. Costa

Urban morphology and socioeconomic aspects of cities have been explored by analysing urban street network. To analyse the network, several variations of the centrality indices are often used. However, its nature has not yet been widely…

Physics and Society · Physics 2021-03-23 Kaoru Yamaoka , Yusuke Kumakoshi , Yuji Yoshimura

Cycle is the simplest structure that brings redundant paths in network connectivity and feedback effects in network dynamics. Focusing on cycle structure, this paper defines a new matrix, named cycle number matrix, to represent cycle…

Physics and Society · Physics 2021-04-21 Tianlong Fan , Linyuan Lü , Dinghua Shi , Tao Zhou

Cycles are ubiquitous in various networks such as social, biological, and technological systems, where they play a significant functional and dynamical role. This paper proposes a node similarity measure based on minimal simple cycles,…

Physics and Society · Physics 2026-01-30 Bo Yang

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…

Physics and Society · Physics 2009-11-11 Sergio Porta , Paolo Crucitti , Vito Latora

In this paper, we introduce and test our algorithm to create a road network representation for city-scale active transportation simulation models. The algorithm relies on open and universal data to ensure applicability for different cities…

Physics and Society · Physics 2021-10-14 Afshin Jafari , Alan Both , Dhirendra Singh , Lucy Gunn , Billie Giles-Corti

Transportation networks serve as windows into the complex world of urban systems. By properly characterizing a road network, we can therefore better understand its encompassing urban system. This study offers a geometrical approach towards…

Physics and Society · Physics 2015-07-15 Farideddin Peiravian , Sybil Derrible

In this paper, we combine the most complete record of daily mobility, based on large-scale mobile phone data, with detailed Geographic Information System (GIS) data, uncovering previously hidden patterns in urban road usage. We find that…

Physics and Society · Physics 2012-12-24 Pu Wang , Timothy Hunter , Alexandre M. Bayen , Katja Schechtner , Marta C. González
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