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This paper focuses on the challenge of interactively modeling street networks. In this work, we extend the simple fractal model, which is particularly useful for describing small cities or individual districts, by constructing random cities…

Information Theory · Computer Science 2025-12-02 Geoffrey Deperle , Philippe Jacquet

Network representations of systems from various scientific and societal domains are neither completely random nor fully regular, but instead appear to contain recurring structural building blocks. These features tend to be shared by…

Social and Information Networks · Computer Science 2016-10-20 Ian Barnett , Nishant Malik , Marieke L. Kuijjer , Peter J. Mucha , Jukka-Pekka Onnela

This paper describes a new approach to the problem of the structural research of clusters based on the theory of geodetic and k-geodetic graphs. We firmly believe that this same approach can be used when solving problems of correlation…

Discrete Mathematics · Computer Science 2017-07-17 Carlos E. Frasser , George N. Vostrov

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

Many existing statistical and machine learning tools for social network analysis focus on a single level of analysis. Methods designed for clustering optimize a global partition of the graph, whereas projection based approaches (e.g. the…

Given a social network, which of its nodes have a stronger impact in determining its structure? More formally: which node-removal order has the greatest impact on the network structure? We approach this well-known problem for the first time…

Social and Information Networks · Computer Science 2011-10-21 Paolo Boldi , Marco Rosa , Sebastiano Vigna

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

We consider synchronization of weighted networks, possibly with asymmetrical connections. We show that the synchronizability of the networks cannot be directly inferred from their statistical properties. Small local changes in the network…

Disordered Systems and Neural Networks · Physics 2007-06-22 Fatihcan M. Atay , Turker Biyikoglu , Juergen Jost

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 appearance of large geolocated communication datasets has recently increased our understanding of how social networks relate to their physical space. However, many recurrently reported properties, such as the spatial clustering of…

We study the tailoring of structured random graph ensembles to real networks, with the objective of generating precise and practical mathematical tools for quantifying and comparing network topologies macroscopically, beyond the level of…

Disordered Systems and Neural Networks · Physics 2015-05-13 A. Annibale , A. C. C. Coolen , L. P. Fernandes , F. Fraternali , J. Kleinjung

Introduced the quantitative measure of the structural complexity of the graph (complex network, etc.) based on a procedure similar to the renormalization process, considering the difference between actual and averaged graph structures on…

Physics and Society · Physics 2024-06-05 A. A. Snarskii

Urban socioeconomic modeling has predominantly concentrated on extensive location and neighborhood-based features, relying on the localized population footprint. However, networks in urban systems are common, and many urban modeling methods…

Machine Learning · Computer Science 2025-07-08 Devashish Khulbe , Alexander Belyi , Stanislav Sobolevsky

The degree distribution is an important characteristic of complex networks. In many data analysis applications, the networks should be represented as fixed-length feature vectors and therefore the feature extraction from the degree…

Social and Information Networks · Computer Science 2014-07-23 Sadegh Aliakbary , Jafar Habibi , Ali Movaghar

This work analyses the practice of sister city pairing. We investigate structural properties of the resulting city and country networks and present rankings of the most central nodes in these networks. We identify different country clusters…

Social and Information Networks · Computer Science 2013-02-27 Andreas Kaltenbrunner , Pablo Aragón , David Laniado , Yana Volkovich

Paper proposes a model of large networks based on a random preferential attachment graph with addition of complete subgraphs (cliques). The proposed model refers to models of random graphs following the nonlinear preferential attachment…

Social and Information Networks · Computer Science 2019-04-05 E. B. Yudin

The representation of complex systems as networks is inappropriate for the study of certain problems. We show several examples of social, biological, ecological and technological systems where the use of complex networks gives very limited…

Physics and Society · Physics 2013-04-02 Ernesto Estrada , Juan A. Rodriguez-Velazquez

Complex networks of real-world systems are believed to be controlled by common phenomena, producing structures far from regular or random. These include scale-free degree distributions, small-world structure and assortative mixing by…

Social and Information Networks · Computer Science 2013-05-24 Lovro Šubelj , Marko Bajec

For a long time, many methods are developed to make temporal signal analyses based on time series. However, for geographical systems, spatial signal analyses are as important as temporal signal analyses. Nonstationary spatial and temporal…

Physics and Society · Physics 2020-12-29 Yanguang Chen , Yuqing Long

Modularity is designed to measure the strength of division of a network into clusters (known also as communities). Networks with high modularity have dense connections between the vertices within clusters but sparse connections between…

Probability · Mathematics 2017-07-18 Liudmila Ostroumova Prokhorenkova , Pawel Pralat , Andrei Raigorodskii
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