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Numerous networks, such as transportation, distribution and delivery networks optimize their designs in order to increase efficiency and lower costs, improving the stability of its intended functions, etc. Networks that distribute goods,…

Physics and Society · Physics 2020-03-26 Fabricio L. Forgerini , Orahcio F. de Sousa

Based on the empirical analysis of the dependency network in 18 Java projects, we develop a novel model of network growth which considers both: an attachment mechanism and the addition of new nodes with a heterogeneous distribution of their…

Physics and Society · Physics 2015-05-19 Claudio J. Tessone , Markus M. Geipel , F. Schweitzer

Large cascades are a common occurrence in many natural and engineered complex systems. In this paper we explore the propagation of cascades across networks using realistic network topologies, such as heterogeneous degree distributions, as…

Adaptation and Self-Organizing Systems · Physics 2019-04-03 Malgorzata Turalska , Keith Burghardt , Martin Rohden , Ananthram Swami , Raissa M. D'Souza

Recently, motivated by the pioneer works in revealing the small-world effect and scale-free property of various real-life networks, many scientists devote themselves to studying complex networks. In this paper, we give a brief review on the…

Physics and Society · Physics 2007-05-23 Bing-Hong Wang , Tao Zhou

We study two kinds of weighted networks, weighted small-world (WSW) and weighted scale-free (WSF). The weight $w_{ij}$ of a link between nodes $i$ and $j$ in the network is defined as the product of endpoint node degrees; that is…

Statistical Mechanics · Physics 2009-11-11 Xin-Jian Xu , Zhi-Xi Wu , Ying-Hai Wang

Biased (degree-dependent) percolation was recently shown to provide new strategies for turning robust networks fragile and vice versa. Here we present more detailed results for biased edge percolation on scale-free networks. We assume a…

We propose a model of random diffusion to investigate flow fluctuations in complex networks. We derive an analytical law showing that the dependence of fluctuations with the mean traffic in a network is ruled by the delicate interplay of…

Physics and Society · Physics 2008-05-21 S. Meloni , J. Gomez-Gardenes , V. Latora , Y. Moreno

The computation of electrical flows is a crucial primitive for many recently proposed optimization algorithms on weighted networks. While typically implemented as a centralized subroutine, the ability to perform this task in a fully…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-01 Luca Becchetti , Vincenzo Bonifaci , Emanuele Natale

Influence propagation in networks has enjoyed fruitful applications and has been extensively studied in literature. However, only very limited preliminary studies tackled the challenges in handling highly dynamic changes in real networks.…

Social and Information Networks · Computer Science 2018-03-06 Yu Yang , Zhefeng Wang , Tianyuan Jin , Jian Pei , Enhong Chen

We propose a generic system model for a special category of interdependent networks, demand-supply networks, in which the demand and the supply nodes are associated with heterogeneous loads and resources, respectively. Our model sheds a…

Networking and Internet Architecture · Computer Science 2019-11-11 Seyyedali Hosseinalipour , Jiayu Mao , Do Young Eun , Huaiyu Dai

We study the tolerance to congestion failures in communication networks with scale-free topology. The traffic load carried by each damaged element in the network must be partly or totally redistributed among the remaining elements.…

Statistical Mechanics · Physics 2009-11-07 Y. Moreno , R. Pastor-Satorras , A. Vazquez , A. Vespignani

This paper is concerned with the characterization of the relationship between topology and traffic dynamics. We use a model of network generation that allows the transition from random to scale free networks. Specifically, we consider three…

Networking and Internet Architecture · Computer Science 2007-05-23 David Arrowsmith , Mario di Bernardo , Francesco Sorrentino

Networks with a given degree distribution may be very resilient to one type of failure or attack but not to another. The goal of this work is to determine network design guidelines which maximize the robustness of networks to both random…

Other Condensed Matter · Physics 2009-11-10 G. Paul , T. Tanizawa , S. Havlin , H. E. Stanley

Resilient intermodal freight networks are vital for sustaining supply chains amid increasing threats from natural hazards and cyberattacks. While transportation resilience has been widely studied, understanding how random and targeted…

Physics and Society · Physics 2026-01-06 Aliza Sharmin , Bharat Sharma , Mustafa Can Camur , Olufemi A. Omitaomu , Xueping Li

We study numerically the cascading failure problem by using artificially created scale-free networks and the real network structure of the power grid. The capacity for a vertex is assigned as a monotonically increasing function of the load…

Physics and Society · Physics 2016-09-08 Bing Wang , Beom Jun Kim

We investigate topologically biased failure in scale-free networks with degree distribution $P(k) \propto k^{-\gamma}$. The probability $p$ that an edge remains intact is assumed to depend on the degree $k$ of adjacent nodes $i$ and $j$…

Disordered Systems and Neural Networks · Physics 2009-11-13 Andre A. Moreira , Jose S. Andrade , Hans J. Herrmann , Joseph O. Indekeu

In this letter, we propose a new routing strategy with a single free parameter $\alpha$ only based on local information of network topology. In order to maximize the packets handling capacity of underlying structure that can be measured by…

Physics and Society · Physics 2016-09-08 Chuan-Yang Yin , Bing-Hong Wang , Wen-Xu Wang , Tao Zhou , Hui-Jie Yang

It has been found that the networks with scale-free distribution are very resilient to random failures. The purpose of this work is to determine the network design guideline which maximize the network robustness to random failures with the…

Statistical Mechanics · Physics 2009-11-11 Jian-Guo Liu , Zhong-Tuo Wang , Yan-Zhong Dang

Transmission line failures in power systems propagate and cascade non-locally. In this work, we propose an adaptive control strategy that offers strong guarantees in both the mitigation and localization of line failures. Specifically, we…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Chen Liang , Linqi Guo , Alessandro Zocca , Steven H. Low , Adam Wierman

This paper considers a model for cascades on random networks in which the cascade propagation at any node depends on the load at the failed neighbor, the degree of the neighbor as well as the load at that node. Each node in the network…

Physics and Society · Physics 2014-11-17 Srikanth K. Iyer , Rahul Vaze , Dheeraj Narasimha