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We study the growth of London's street-network in its dual representation, as the city has evolved over the last 224 years. The dual representation of a planar graph is a content-based network, where each node is a set of edges of the…

Physics and Society · Physics 2015-06-18 A. Paolo Masucci , Kiril Stanilov , Michael Batty

Complex networks describe a wide range of systems in nature and society, much quoted examples including the cell, a network of chemicals linked by chemical reactions, or the Internet, a network of routers and computers connected by physical…

Statistical Mechanics · Physics 2016-08-31 Reka Albert , Albert-Laszlo Barabasi

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

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

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…

Physics and Society · Physics 2025-10-21 Hezhishi Jiang , Liyan Xu , Tianshu Li , Jintong Tang , Zekun Chen , Yuxuan Wang , Haoran Liu , Hongmou Zhang , Huanfa Chen , Yu Liu

The dynamics of transportation through towns and cities is strongly affected by the topology of the connections and routes. The current work describes an approach combining complex networks and self-avoiding random walk dynamics in order to…

Computers and Society · Computer Science 2008-02-26 Bruno Augusto Nassif Travençolo , Luciano da Fontoura Costa

The encoding of cities into non-planar dual graphs reveals their complex structure. We investigate the statistics of the typical space syntax measures for the five different compact urban patterns. Universal statistical behavior of space…

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

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

We consider data with multiple observations or reports on a network in the case when these networks themselves are connected through some form of network ties. We could take the example of a cognitive social structure where there is another…

Social and Information Networks · Computer Science 2021-11-16 Johan Koskinen , Pete Jones , Darkhan Medeuov , Artem Antonyuk , Kseniia Puzyreva , Nikita Basov

Graphs are widely used in various fields of computer science. They have also found application in unrelated areas, leading to a diverse range of problems. These problems can be modeled as relationships between entities in various contexts,…

Data Structures and Algorithms · Computer Science 2024-05-20 Davide Rucci

We provide an efficient algorithm for determining how a road network has evolved over time, given two snapshot instances from different dates. To allow for such determinations across different databases and even against hand drawn maps, we…

Data Structures and Algorithms · Computer Science 2016-09-26 M T Goodrich , Siddharth Gupta , Manuel R. Torres

This paper studies real-world road networks from an algorithmic perspective, focusing on empirical studies that yield useful properties of road networks that can be exploited in the design of fast algorithms that deal with geographic data.…

Computational Geometry · Computer Science 2009-05-14 David Eppstein , Michael T. Goodrich

Graph theory provides a language for studying the structure of relations, and it is often used to study interactions over time too. However, it poorly captures the both temporal and structural nature of interactions, that calls for a…

Social and Information Networks · Computer Science 2017-10-12 Matthieu Latapy , Tiphaine Viard , Clémence Magnien

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

As we move through cities in our daily lives, we are in a constant state of transformation of the spaces around us. The form and essence of urban space directly affects people's behavior, describing in their perception what is possible or…

Computers and Society · Computer Science 2015-03-13 Salvatore Iaconesi , Oriana Persico

Spatial networks are ubiquitous in social, geographical, physical, and biological applications. To understand the large-scale structure of networks, it is important to develop methods that allow one to directly probe the effects of space on…

Social and Information Networks · Computer Science 2020-09-23 Michelle Feng , Mason A. Porter

Complex network theory aims to model and analyze complex systems that consist of multiple and interdependent components. Among all studies on complex networks, topological structure analysis is of the most fundamental importance, as it…

Social and Information Networks · Computer Science 2010-09-15 Bo Yang , Jiming Liu

Many real-world complex systems, such as epidemic spreading networks and ecosystems, can be modeled as networked dynamical systems that produce multivariate time series. Learning the intrinsic dynamics from observational data is pivotal for…

Machine Learning · Computer Science 2024-12-30 Yanna Ding , Zijie Huang , Malik Magdon-Ismail , Jianxi Gao

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

Human mobility analysis at urban-scale requires models to represent the complex nature of human movements, which in turn are affected by accessibility to nearby points of interest, underlying socioeconomic factors of a place, and local…

Social and Information Networks · Computer Science 2025-04-07 Sinjini Mitra , Anuj Srivastava , Avipsa Roy , Pavan Turaga