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Networks constitute efficient tools for assessing universal features of complex systems. In physical contexts, classical as well as quantum, networks are used to describe a wide range of phenomena, such as phase transitions, intricate…

Quantum Physics · Physics 2016-01-22 Jaroslav Novotný , Gernot Alber , Igor Jex

Conventional studies of network growth models mainly look at the steady state degree distribution of the graph. Often long time behavior is considered, hence the initial condition is ignored. In this contribution, the time evolution of the…

Physics and Society · Physics 2013-05-10 Babak Fotouhi , Michael Rabbat

This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by…

Optimization and Control · Mathematics 2021-03-17 Liudmila Tumash , Carlos Canudas-de-Wit , Maria Laura Delle Monache

Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

Statistical Mechanics · Physics 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

Social and Information Networks · Computer Science 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

The Web graph is a giant social network whose properties have been measured and modeled extensively in recent years. Most such studies concentrate on the graph structure alone, and do not consider textual properties of the nodes.…

Information Retrieval · Computer Science 2018-02-15 Soumen Chakrabarti , Mukul M. Joshi , Kunal Punera , David M. Pennock

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

The paper is concerned with the interplay between network structure and traffic dynamics in a communications network, from the viewpoint of end-to-end performance of packet transfer. We use a model of network generation that allows the…

Disordered Systems and Neural Networks · Physics 2016-11-18 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

In an intelligent transportation system, the effects and relations of traffic flow at different points in a network are valuable features which can be exploited for control system design and traffic forecasting. In this paper, we define the…

Systems and Control · Electrical Eng. & Systems 2020-11-24 Sina Molavipour , Germán Bassi , Mladen Čičić , Mikael Skoglund , Karl Henrik Johansson

Networks in nature are often formed within a spatial domain in a dynamical manner, gaining links and nodes as they develop over time. We propose a class of spatially-based growing network models and investigate the relationship between the…

Physics and Society · Physics 2013-12-30 Ari Zitin , Alex Gorowora , Shane Squires , Mark Herrera , Thomas M. Antonsen , Michelle Girvan , Edward Ott

The interplay between topology and dynamics in complex networks is a fundamental but widely unexplored problem. Here, we study this phenomenon on a prototype model in which the network is shaped by a dynamical variable. We couple the…

Statistical Mechanics · Physics 2008-06-13 Diego Garlaschelli , Andrea Capocci , Guido Caldarelli

Mapping the Internet generally consists in sampling the network from a limited set of sources by using "traceroute"-like probes. This methodology, akin to the merging of different spanning trees to a set of destinations, has been argued to…

Statistical Mechanics · Physics 2007-05-23 Luca Dall'Asta , Ignacio Alvarez-Hamelin , Alain Barrat , Alexei Vazquez , Alessandro Vespignani

We present an algorithm to grow a graph with scale-free structure of {\it in-} and {\it out-links} and variable wiring diagram in the class of the world-wide Web. We then explore the graph by intentional random walks using local…

Statistical Mechanics · Physics 2009-11-10 Bosiljka Tadic

Dynamic graph theory is a novel, growing area that deals with graphs that change over time and is of great utility in modelling modern wireless, mobile and dynamic environments. As a graph evolves, possibly arbitrarily, it is challenging to…

Computational Complexity · Computer Science 2012-05-28 Bernard Mans , Luke Mathieson

Understanding the mutual interdependence between the behavior of dynamical processes on networks and the underlying topologies promises new insight for a large class of empirical networks. We present a generic approach to investigate this…

Disordered Systems and Neural Networks · Physics 2012-08-08 Steffen Karalus , Markus Porto

Food webs are networks describing who is eating whom in an ecological community. By now it is clear that many aspects of food-web structure are reproducible across diverse habitats, yet little is known about the driving force behind this…

Populations and Evolution · Quantitative Biology 2007-05-23 A. G. Rossberg , H. Matsuda , T. Amemiya , K. Itoh

Models for the dynamics of congestion control generally involve systems of coupled differential equations. Universally, these models assume that traffic sources saturate the maximum transmissions allowed by the congestion control method.…

Networking and Internet Architecture · Computer Science 2024-03-25 Harvinder Lehal , Natchanon Luangsomboon , Jörg Liebeherr

Systems of cities at the macroscopic scale have their trajectories conditioned by the evolution of infrastructure networks. This leads to complex planning and management situations in the particular case of international transportation…

Physics and Society · Physics 2021-09-01 Juste Raimbault

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

We live in a world increasingly dominated by networks -- communications, social, information, biological etc. A central attribute of many of these networks is that they are dynamic, that is, they exhibit structural changes over time. While…

Networking and Internet Architecture · Computer Science 2010-12-02 Prithwish Basu , Amotz Bar-Noy , Ram Ramanathan , Matthew P. Johnson