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We numerically investigate jamming transitions in complex heterogeneous networks. Inspired by Internet routing protocols, we study a general model that incorporates local traffic information through a tunable parameter. The results show…

Statistical Mechanics · Physics 2007-05-23 Pablo Echenique , Jesus Gomez-Gardenes , Yamir Moreno

The emergence of congestion is a critical phenomenon in transport systems. Transport is organized along pathways abstracted by links, which connect different nodes as regions to form the network. The modeling of traffic has so far mainly…

Physics and Society · Physics 2023-03-23 Zhidong He

Both natural and engineered supply networks exhibit universal structural patterns, such as the formation of loops, yet the principles governing optimal structures remain unclear. These patterns can be interpreted as solutions of…

Adaptation and Self-Organizing Systems · Physics 2026-04-21 Aarathi Parameswaran , Andrea Benigni , Dirk Witthaut , Iva Bačić

Temporal networks have been increasingly used to model a diversity of systems that evolve in time; for example human contact structures over which dynamic processes such as epidemics take place. A fundamental aspect of real-life networks is…

Physics and Society · Physics 2017-11-08 Luis E C Rocha , Naoki Masuda , Petter Holme

Many real-world social networks constantly change their global properties over time, such as the number of edges, size and density. While temporal and local properties of social networks have been extensively studied, the origin of their…

Physics and Society · Physics 2020-11-18 Teruyoshi Kobayashi , Mathieu Génois

In this paper we apply the lattice-Boltzmann method and an extension to particle suspensions as introduced by Ladd et al. to study transport phenomena and structuring effects of particles suspended in a fluid near sheared solid walls. We…

Soft Condensed Matter · Physics 2007-05-23 A. Komnik , J. Harting , H. J. Herrmann

The performance and behavior of large-scale distributed applications is highly influenced by network properties such as latency, bandwidth, packet loss, and jitter. For instance, an engineer might need to answer questions such as: What is…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-07 Paulo Gouveia , João Neves , Carlos Segarra , Luca Liechti , Shady Issa , Valerio Schiavoni , Miguel Matos

We analyse the statistical properties of public transport networks. These networks are defined by a set of public transport routes (bus lines) and the stations serviced by these. For larger networks these appear to possess a scale-free…

Disordered Systems and Neural Networks · Physics 2007-05-23 C. von Ferber , Yu. Holovatch , V. Palchykov

We propose an analytical technique to study large fluctuations and switching from internal noise in complex networks. Using order-disorder kinetics as a generic example, we construct and analyze the most probable, or optimal path of…

Physics and Society · Physics 2017-09-07 Jason Hindes , Ira B. Schwartz

One dominant aspect of cities is transport and massive passenger mobilization which remains a challenge with the increasing demand on the public as cities grow. In addition, public transport infrastructure suffers from traffic congestion…

Physics and Society · Physics 2023-09-06 L. K. Eraso-Hernandez , A. P. Riascos , T. M. Michelitsch , J. Wang-Michelitsch

Recent years have seen the world become a closely connected society with the emergence of different types of social networks. Online social networks have provided a way to bridge long distances and establish numerous communication channels…

Social and Information Networks · Computer Science 2014-11-03 Mohammad Ayub Latif , Muhammad Naveed , Faraz Zaidi

In this work we present a model of an air transportation traffic system from the complex network modelling viewpoint. In the network, every node corresponds to a given airport, and two nodes are connected by means of flight routes. Each…

Physics and Society · Physics 2015-05-13 Lucas Lacasa , Miguel Cea , Massimiliano Zanin

In this paper, we study crucial elements of a complex network, namely its nodes and connections, which play a key role in maintaining the network's structure and function under unexpected structural perturbations of nodes and edges removal.…

Social and Information Networks · Computer Science 2017-02-07 Hung T. Nguyen , Nam P. Nguyen , Tam Vu , Huan X. Hoang , Thang N. Dinh

Modern urban resilience is threatened by cascading failures in multimodal transport networks, where localized shocks trigger widespread paralysis. Existing models, limited by their focus on pairwise interactions, often underestimate this…

Social and Information Networks · Computer Science 2025-09-18 Jinghua Song , Yuan Wang , Zimo Yan

We analyze the degree distribution's cut-off in finite size scale-free networks. We show that the cut-off behavior with the number of vertices $N$ is ruled by the topological constraints induced by the connectivity structure of the network.…

Disordered Systems and Neural Networks · Physics 2009-11-10 Marian Boguna , Romualdo Pastor-Satorras , Alessandro Vespignani

Scale invariance profoundly influences the dynamics and structure of complex systems, spanning from critical phenomena to network architecture. Here, we propose a precise definition of scale-invariant networks by leveraging the concept of a…

Statistical Mechanics · Physics 2024-12-17 Anna Poggialini , Pablo Villegas , Miguel A. Muñoz , Andrea Gabrielli

In the mid-90's, it was shown that the statistics of aggregated time series from Internet traffic departed from those of traditional short range dependent models, and were instead characterized by asymptotic self-similarity. Following this…

Networking and Internet Architecture · Computer Science 2017-03-07 Romain Fontugne , Patrice Abry , Kensuke Fukuda , Darryl Veitch , Kenjiro Cho , Pierre Borgnat , Herwig Wendt

We analyze the stability of the network's giant connected component under impact of adverse events, which we model through the link percolation. Specifically, we quantify the extent to which the largest connected component of a network…

We study message transport on a $1-d$ ring of nodes and randomly distributed hubs. Messages are deposited on the network at a constant rate. When the rate at which messages are deposited on the lattice is very high, messages start…

Statistical Mechanics · Physics 2009-10-20 Satyam Mukherjee , Gautam Mukherjee , Neelima Gupte

Random walks are one of the best investigated dynamical processes on graphs. A particularly fascinating phenomenon is the scaling relationship of fluctuations $\sigma $ with the average flux $\langle f \rangle $. Here we analyze how network…

Physics and Society · Physics 2015-05-28 Kosmas Kosmidis , Moritz Beber , Marc-Thorsten Hütt
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