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Spatial organisation of physical form of an urban system, or city, both manifests and influences the way its social form functions. Mathematical quantification of the spatial pattern of a city is, therefore, important for understanding…

Physics and Society · Physics 2019-09-04 Hoai Nguyen Huynh

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

In this paper we revisit the concept of mobility entropy. Over time, the structure of spatial interactions among urban centres tends to become more complex and evolves from centralised models to more scattered origin and destination…

Physics and Society · Physics 2021-06-30 Valentina Marin , Carlos Molinero , Elsa Arcaute

Two network measures known as the Economic Complexity Index (ECI) and Product Complexity Index (PCI) have provided important insights into patterns of economic development. We show that the ECI and PCI are equivalent to a spectral…

Economics · Quantitative Finance 2021-10-05 Penny Mealy , J. Doyne Farmer , Alexander Teytelboym

The polycentric city model has gained popularity in spatial planning policy, since it is believed to overcome some of the problems often present in monocentric metropolises, ranging from congestion to difficult accessibility to jobs and…

Physics and Society · Physics 2023-05-11 Carmen Cabrera-Arnau , Chen Zhong , Michael Batty , Ricardo Silva , Soong Moon Kang

Recent development of network structure analysis shows that it plays an important role in characterizing complex system of many branches of sciences. Different from previous network centrality measures, this paper proposes the notion of…

Information Retrieval · Computer Science 2009-02-12 Hai Zhuge , Junsheng Zhang

Centrality metrics have become a popular concept in network science and optimization. Over the years, centrality has been used to assign importance and identify influential elements in various settings, including transportation,…

Social and Information Networks · Computer Science 2024-05-07 Mustafa Can Camur , Chrysafis Vogiatzis

Complex systems have become a popular lens for analyzing cities and complexity theory has many implications for urban performance and resilience. This paper develops a typology of measures and indicators for assessing the physical…

Physics and Society · Physics 2018-10-05 Geoff Boeing

Urban planning still lacks appropriate standards to define city boundaries across urban systems. This issue has historically been left to administrative criteria, which can vary significantly across countries and political systems,…

Physics and Society · Physics 2020-05-07 Boris Sotomayor-Gómez , Horacio Samaniego

This paper proposes a new method to analyze the spatial structure of urban systems using ideas from fractals. Regarding a system of cities as a set of "particles" distributed randomly on a triangular lattice, we construct a spatial…

Physics and Society · Physics 2016-06-15 Yanguang Chen , Shiguo Jiang

Centrality metrics aim to identify the most relevant nodes in a network. In literature, a broad set of metrics exists, either measuring local or global centrality characteristics. Nevertheless, when networks exhibit a high spectral gap, the…

Physics and Society · Physics 2025-10-20 Lorenzo Costantini , Carla Sciarra , Luca Ridolfi , Francesco Laio

Spatial road networks have been widely employed to model the structure and connectivity of cities. In such representation, the question of spatial scale of the entities in the network, i.e. what its nodes and edges actually embody in…

Physics and Society · Physics 2022-01-27 Hoai Nguyen Huynh , Muhamad Azfar Bin Ramli

Potentially influential spaces in the spatial networks of cities can be detected by means of the entropy participation ratios. Local (connectivity) and global (centrality) entropies are considered. While the connectivity entropy has a…

Physics and Society · Physics 2007-09-28 D. Volchenkov , Ph. Blanchard

Identifying central entities and interactions is a fundamental problem in network science. While well-studied for graphs (pairwise relations), many biological and social systems exhibit higher-order interactions best modeled by hypergraphs.…

Physics and Society · Physics 2025-12-02 Jaewan Chun , Fanchen Bu , Yeongho Kim , Atsushi Miyauchi , Francesco Bonchi , Kijung Shin

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

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

Quantification of the overall characteristics of urban mobility using coarse-grained methods is crucial for urban management, planning and sustainable development. Although some recent studies have provided quantification methods for…

Physics and Society · Physics 2023-08-03 Hao Wang , Pengjun Zhao , Xiao-Yong Yan

Cities are some of the most intricate and advanced creations of humanity. Most objects in cities are perfectly synchronised to coordinate activities such as jobs, education, transportation, entertainment, and waste management. Although each…

Physics and Society · Physics 2026-04-01 Rafael Prieto-Curiel

In previous research we defined a methodology for mapping centrality in urban networks. Such methodology, named Multiple Centrality Assessment (MCA), makes it possible to ascertain how each street is structurally central in a city according…

Complex network theory (CNT) is gaining a lot of attention in the scientific community, due to its capability to model and interpret an impressive number of natural and anthropic phenomena. One of the most active CNT field concerns the…

Social and Information Networks · Computer Science 2020-03-04 Orazio Giustolisi , Luca Ridolfi , Antonietta Simone
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