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We propose and study a model of traffic in communication networks. The underlying network has a structure that is tunable between a scale-free growing network with preferential attachments and a random growing network. To model realistic…

Networking and Internet Architecture · Computer Science 2008-06-12 Zonghua Liua , Weichuan Ma , Huan Zhang , Yin Sun , P. M. Hui

To enhance robustness of complex networked systems, a simple method is introducing reinforced nodes which always function during failure propagation. A random scheme of node reinforcement can be considered as a benchmark for finding an…

Physics and Society · Physics 2023-06-27 Rui Ma , Yanqing Hu , Jin-Hua Zhao

In many cases of attacks or failures, memory effects play a significant role. Therefore, we present a model that not only considers the dependencies between nodes but also incorporates the memory effects of attacks. Our research…

Physics and Society · Physics 2023-06-21 Yanpeng Zhu , Lei Chen , Fanyuan Meng , Chun-Xiao Jia , Run-Ran Liu

We consider utility maximization in networks where the sources do not employ flow control and may consequently overload the network. In the absence of flow control at the sources, some packets will inevitably have to be dropped when the…

Optimization and Control · Mathematics 2012-07-27 Chih-ping Li , Eytan Modiano

In this paper, we introduce a distributed control strategy to prevent dynamically-induced cascading failures in power grids. We model power grids using complex networks and nonlinear dynamics to provide a coarse-grained description of the…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Mattia Frasca , Lucia Valentina Gambuzza

We consider two elementary (max-flow and uniform-flow) and two realistic (max-min fairness and proportional fairness) congestion control schemes, and analyse how the algorithms and network structure affect throughput, the fairness of flow…

Physics and Society · Physics 2017-08-24 Lubos Buzna , Rui Carvalho

This thesis focuses on link scheduling in wireless mesh networks by taking into account physical layer characteristics. The assumption made throughout is that a packet is received successfully only if the Signal to Interference and Noise…

Networking and Internet Architecture · Computer Science 2008-12-31 Ashutosh Deepak Gore

Motivated by synchronization problems in noisy environments, we study the Edwards-Wilkinson process on weighted uncorrelated scale-free networks. We consider a specific form of the weights, where the strength (and the associated cost) of a…

Statistical Mechanics · Physics 2007-06-13 G. Korniss

Maximizing robustness and minimizing cost are common objectives in the design of infrastructure networks. However, most infrastructure networks evolve and operate in a highly decentralized fashion, which may significantly impact the…

Physics and Society · Physics 2008-05-29 Dong-Hee Kim , Adilson E. Motter

A network's transmission capacity is the maximal rate of traffic inflow that the network can handle without causing congestion. Here we study how to enhance this quantity by redistributing the capability of individual nodes while preserving…

Networking and Internet Architecture · Computer Science 2009-10-14 Guoqing Zhang , Shi Zhou , Di Wang , Gang Yan , Guoqiang Zhang

To analyze the transport of information or material from a source to every node of a network we use two quantities introduced in the study of river networks: the cost and the flow. For a network with $K$ nodes and $M$ levels, we show that…

Physics and Society · Physics 2015-05-14 L. A. Barbosa , J. K. L. da Silva

Weight distribution largely impacts the epidemic spreading taking place on top of networks. This paper studies a susceptible-infected-susceptible model on regular random networks with different kinds of weight distributions. Simulation…

Physics and Society · Physics 2012-07-16 Zimo Yang , Tao Zhou

We present a framework to calculate the cascade size evolution for a large class of cascade models on random network ensembles in the limit of infinite network size. Our method is exact and applies to network ensembles with almost arbitrary…

Physics and Society · Physics 2018-04-25 Rebekka Burkholz , Frank Schweitzer

The increasing complexity and interdependency of today's networks highlight the importance of studying network robustness to failure and attacks. Many large-scale networks are prone to cascading effects where a limited number of initial…

Social and Information Networks · Computer Science 2016-07-27 Khashayar Kamran , Edmund Yeh

Modern network systems, such as transportation and communication systems, are prone to cyber-physical disruptions and thus suffer efficiency loss. This paper studies network resiliency, in terms of throughput, and develops resilient control…

Systems and Control · Electrical Eng. & Systems 2025-01-08 Yu Tang , Li Jin

Transportation networks are inevitably selected with reference to their global cost which depends on the strengths and the distribution of the embedded currents. We prove that optimal current distributions for a uniformly injected…

Statistical Mechanics · Physics 2015-05-13 Filippo Simini , Andrea Rinaldo , Amos Maritan

In complex networks, the failure of one or very few nodes may cause cascading failures. When this dynamical process stops in steady state, the size of the giant component formed by remaining un-failed nodes can be used to measure the…

Social and Information Networks · Computer Science 2015-06-30 Junbiao Liu , Xinyu Jin , Lurong Jiang , Yongxiang Xia , Bo Ouyang , Fang Dong , Yicong Lang , Wenping Zhang

This work addresses the problem of evaluating optimal link capacities of a packet-flow network for the objective of congestion minimization. We present a simple model of packet flow in networks and present a numerical approach to evaluate…

Networking and Internet Architecture · Computer Science 2020-02-10 Saptarshi Pal , Ayan Chatterjee , Dripto Bakshi , Amitava Mukherjee

This paper studies reduced-order modeling of dynamic networks with strongly connected topology. Given a graph clustering of an original complex network, we construct a quotient graph with less number of vertices, where the edge weights are…

Optimization and Control · Mathematics 2020-03-10 Xiaodong Cheng , Lanlin Yu , Dingchao Ren , Jacquelien M. A. Scherpen

We present a scattering theory for the efficient transmission of an excitation across a finite network with designed disorder. We show that the presence of randomly positioned networks sites allows to significantly accelerate the excitation…

Quantum Physics · Physics 2017-11-22 Mattia Walschaers , Roberto Mulet , Andreas Buchleitner