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Road networks are characterised by several structural and geometric properties. Their topological structure determines partially its hierarchical arrangement, but since these are networks that are spatially situated and, therefore,…

Physics and Society · Physics 2017-01-30 Carlos Molinero , Roberto Murcio , Elsa Arcaute

From social interactions to the human brain, higher-order networks are key to describe the underlying network geometry and topology of many complex systems. While it is well known that network structure strongly affects its function, the…

Statistical Mechanics · Physics 2022-01-11 Ana P Millán , Reza Ghorbanchian , Nicolò Defenu , Federico Battiston , Ginestra Bianconi

We study the influence that population density and the road network have on each others' growth and evolution. We use a simple model of formation and evolution of city roads which reproduces the most important empirical features of street…

Physics and Society · Physics 2009-08-28 Marc Barthelemy , Alessandro Flammini

One of the most important features observed in real networks is that, as a network's topology evolves so does the network's ability to perform various complex tasks. To explain this, it has also been observed that as a network grows certain…

Physics and Society · Physics 2017-12-06 L. A. Bunimovich , D. C. Smith , B. Z. Webb

We introduce a method that can be used to evolve the topology of a network in a way that preserves both the network's spectral as well as local structure. This method is quite versatile in the sense that it can be used to evolve a network's…

Adaptation and Self-Organizing Systems · Physics 2016-08-23 Leonid Bunimovich , Benjamin Webb

Complex systems, ranging from soft materials to wireless communication, are often organised as random geometric networks in which nodes and edges evenly fill up the volume of some space. Studying such networks is difficult because they…

Probability · Mathematics 2022-07-19 Ivan Kryven , Rik Versendaal

Traditional network generation models attempt to replicate global structural properties (degree distribution, average distance, clustering coefficient, communities, etc.) through synthetic link formation mechanisms such as triadic closure…

Social and Information Networks · Computer Science 2013-10-14 Erick Stattner , Martine Collard

Internet is known to display a highly heterogeneous structure and complex fluctuations in its traffic dynamics. Congestion seems to be an inevitable result of user's behavior coupled to the network dynamics and it effects should be…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sergi Valverde , Ricard V. Sole

A fundamental characteristic of computer networks is their topological structure. The question of the description of the structural characteristics of computer networks represents a problem that is not completely solved. Search methods for…

Discrete Mathematics · Computer Science 2024-08-08 Carlos E. Frasser

In the last decades, complex networks theory significantly influenced other disciplines on the modeling of both static and dynamic aspects of systems observed in nature. This work aims to investigate the effects of networks' topological…

Neural and Evolutionary Computing · Computer Science 2012-02-09 Matteo De Felice , Sandro Meloni , Stefano Panzieri

Understanding the spatial networks formed by the trajectories of mobile users can be beneficial to applications ranging from epidemiology to local search. Despite the potential for impact in a number of fields, several aspects of human…

Social and Information Networks · Computer Science 2015-03-18 Anastasios Noulas , Blake Shaw , Renaud Lambiotte , Cecilia Mascolo

The relationship between network topology and system dynamics has significant implications for unifying our understanding of the interplay among metabolic, gene-regulatory, and ecosystem network architecures. Here we analyze the stability…

Populations and Evolution · Quantitative Biology 2015-06-17 Cameron Smith , Raymond S. Puzio , Aviv Bergman

The structure of networks that provide optimal transport properties has been investigated in a variety of contexts. While many different formulations of this problem have been considered, it is recurrently found that optimal networks are…

Biological Physics · Physics 2015-05-13 Francis Corson

The quest to understand structure-function relationships in networks across scientific disciplines has intensified. However, the optimal network architecture remains elusive, particularly for complex information processing. Therefore, we…

Adaptation and Self-Organizing Systems · Physics 2024-03-27 Manish Yadav , Sudeshna Sinha , Merten Stender

The evolution of the Internet has manifested itself in many ways: the traffic characteristics, the interconnection topologies and the business relationships among the autonomous components. It is important to understand why (and how) this…

Networking and Internet Architecture · Computer Science 2012-11-27 Richard T. B. Ma , John C. S. Lui , Vishal Misra

The structure of real-world networks is usually difficult to characterize owing to the variation of topological scales, the nondyadic complex interactions, and the fluctuations in the network. We aim to address these problems by introducing…

Social and Information Networks · Computer Science 2019-09-25 Quoc Hoan Tran , Van Tuan Vo , Yoshihiko Hasegawa

We propose a model for the World Wide Web graph that couples the topological growth with the traffic's dynamical evolution. The model is based on a simple traffic-driven dynamics and generates weighted directed graphs exhibiting the…

Networking and Internet Architecture · Computer Science 2007-05-23 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Recent years have seen a growing interest in the modeling and simulation of social networks to understand several social phenomena. Two important classes of networks, small world and scale free networks have gained a lot of research…

Social and Information Networks · Computer Science 2014-11-04 Mohammad Qasim Pasta , Zohaib Jan , Arnaud Sallaberry , Faraz Zaidi

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…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

Many complex systems can be described in terms of networks of interacting units. Recent studies have shown that a wide class of both natural and artificial nets display a surprisingly widespread feature: the presence of highly heterogeneous…

Disordered Systems and Neural Networks · Physics 2007-05-23 R. Ferrer i Cancho , R. V. Sole
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