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We introduce a new computational problem, the BackboneDiscovery problem, which encapsulates both functional and structural aspects of network analysis. While the topology of a typical road network has been available for a long time (e.g.,…

Social and Information Networks · Computer Science 2015-08-18 Sanjay Chawla , Kiran Garimella , Aristides Gionis , Dominic Tsang

The contemporary society has become more dependent on telecommunication networks. Novel services and technologies supported by such networks, such as cloud computing or e-Health, hold a vital role in modern day living. Large-scale failures…

Networking and Internet Architecture · Computer Science 2014-02-13 Marc Manzano , Anna Manolova Fagertun , Sarah Ruepp , Eusebi Calle , Caterina Scoglio , Ali Sydney , Antonio de la Oliva , Alfonso Muñoz

Much work has been devoted to studying percolation of networks and interdependent networks under varying levels of failures. Researchers have considered many different realistic network structures, but thus far no study has incorporated the…

Physics and Society · Physics 2018-11-21 Louis M. Shekhtman , Shlomo Havlin

Natural hazards including floods can trigger catastrophic failures in interdependent urban transport network-of-networks (NoNs). Population growth has enhanced transportation demand while urbanization and climate change have intensified…

Physics and Society · Physics 2019-12-13 Nishant Yadav , Samrat Chatterjee , Auroop R. Ganguly

Many real world complex systems such as infrastructure, communication and transportation networks are embedded in space, where entities of one system may depend on entities of other systems. These systems are subject to geographically…

Physics and Society · Physics 2015-03-13 Yehiel Berezin , Amir Bashan , Michael M. Danziger , Daqing Li , Shlomo Havlin

The measurement and mapping of transportation network vulnerability to natural hazards constitute subjects of global interest, especially due to climate change, and for a sustainable development agenda. During a flood, some elements of a…

We present analytic and numeric results for percolation in a network formed of interdependent spatially embedded networks. We show results for a treelike and a random regular network of networks each with $(i)$ unconstrained interdependent…

Physics and Society · Physics 2015-06-18 Louis M. Shekhtman , Yehiel Berezin , Michael M. Danziger , Shlomo Havlin

This paper investigates the use of Infrastructure-To-Vehicle (I2V) communication to generate routing suggestions for drivers in transportation systems, with the goal of optimizing a measure of overall network congestion. We define link-wise…

Optimization and Control · Mathematics 2019-04-18 Gianluca Bianchin , Fabio Pasqualetti , Soumya Kundu

Most complex networks are not static, but evolve along time. Given a specific configuration of one such changing network, it becomes a particularly interesting issue to quantify the diversity of possible unfoldings of its topology. In this…

Physics and Society · Physics 2019-09-04 Filipi N. Silva , Cesar H. Comin , Luciano da F. Costa

Many real-world networks, ranging from subway systems to polymer structures and fungal mycelia, do not form by the incremental addition of individual nodes but instead grow through the successive extension and intersection of lines or…

Physics and Society · Physics 2026-01-14 Marc Barthelemy

The behaviour of complex networks under failure or attack depends strongly on the specific scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure but appear to be especially vulnerable…

Physics and Society · Physics 2012-09-25 Bertrand Berche , Christian von Ferber , Taras Holovatch , Yurij Holovatch

This paper studies network resilience against structured additive perturbations to its topology. We consider dynamic networks modeled as linear time-invariant systems subject to perturbations of bounded energy satisfying specific sparsity…

Systems and Control · Electrical Eng. & Systems 2021-05-18 Shenyu Liu , Sonia Martinez , Jorge Cortes

In this paper we revisit the concept of mobility entropy. Over time, the structure of spatial interactions among urban centres tends to become more complex and evolves from centralised models to more scattered origin and destination…

Physics and Society · Physics 2021-06-30 Valentina Marin , Carlos Molinero , Elsa Arcaute

A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory can be used for…

We consider two variational models for transport networks, an urban planning and a branched transport model, in which the degree of network complexity and ramification is governed by a small parameter $\varepsilon>0$. Smaller $\varepsilon$…

Classical Analysis and ODEs · Mathematics 2017-11-16 Alessio Brancolini , Benedikt Wirth

Potential vulnerabilities in a power grid can be exposed by identifying those transmission lines on which attacks (in the form of interference with their transmission capabilities) causes maximum disruption to the grid. In this study, we…

Optimization and Control · Mathematics 2015-03-10 Taedong Kim , Stephen J. Wright , Daniel Bienstock , Sean Harnett

Complex systems are successfully reduced to interacting elements via the network concept. Transport plays a key role in the survival of networks. For example the specialized signaling cascades of cellular networks filter noise and…

Biological Physics · Physics 2010-10-05 Robin Palotai , Peter Csermely

Street networks, as one of the oldest infrastructures of transport in the world, play a significant role in modernization, sustainable development, and human daily activities in both ancient and modern times. Although street networks have…

Physics and Society · Physics 2015-04-01 Bin Jiang , Atsuyuki Okabe

Complex evolving systems such as the biosphere, ecosystems and societies exhibit sudden collapses, for reasons that are only partially understood. Here we study this phenomenon using a mathematical model of a system that evolves under…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Ravi Mehrotra , Vikram Soni , Sanjay Jain

Redundancy needs more precise characterization as it is a major factor in the evolution and robustness of networks of multivariate interactions. We investigate the complexity of such interactions by inferring a connection transitivity that…

Social and Information Networks · Computer Science 2021-10-25 Tiago Simas , Rion Brattig Correia , Luis M. Rocha