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Complex systems are very often organized under the form of networks where nodes and edges are embedded in space. Transportation and mobility networks, Internet, mobile phone networks, power grids, social and contact networks, neural…

Statistical Mechanics · Physics 2015-05-20 Marc Barthelemy

The behavior 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 to…

Physics and Society · Physics 2010-07-06 B. Berche , C. von Ferber , T. Holovatch , Yu. Holovatch

Transportation and distribution networks are a class of spatial networks that have been of interest in recent years. These networks are often characterized by the presence of complex structures such as central loops paired with peripheral…

Physics and Society · Physics 2023-01-23 Sebastiano Bontorin , Giulia Cencetti , Riccardo Gallotti , Bruno Lepri , Manlio De Domenico

Robust and efficient design of networks on a realistic geographical space is one of the important issues for the realization of dependable communication systems. In this paper, based on a percolation theory and a geometric graph property,…

Data Analysis, Statistics and Probability · Physics 2011-11-04 Yukio Hayashi

Street networks allow people and goods to move through cities, but they are vulnerable to disasters like floods, earthquakes, and terrorist attacks. Well-planned network design can make a city more resilient and robust to such disruptions,…

Physics and Society · Physics 2024-03-19 Geoff Boeing , Jaehyun Ha

Transport is an important function in many network systems and understanding its behavior on biological, social, and technological networks is crucial for a wide range of applications. However, it is a property that is not well-understood…

Disordered Systems and Neural Networks · Physics 2009-11-13 Lazaros K. Gallos , Chaoming Song , Shlomo Havlin , Hernan A. Makse

Adaptive transport networks in biological and physical systems exhibit hierarchical organization, characteristic channel spacing, and robust scaling relations. Existing adaptive network models, formulated on a lattice, successfully…

Adaptation and Self-Organizing Systems · Physics 2026-05-18 Sidney Holden , Mia C. Morrell , Geoffrey Vasil , Eleni Katifori

Networks embedded in space can display all sorts of transitions when their structure is modified. The nature of these transitions (and in some cases crossovers) can differ from the usual appearance of a giant component as observed for the…

Statistical Mechanics · Physics 2018-12-19 Marc Barthelemy

Transport networks are crucial to the functioning of natural and technological systems. Nature features transport networks that are adaptive over a vast range of parameters, thus providing an impressive level of robustness in supply.…

Adaptation and Self-Organizing Systems · Physics 2017-11-28 Erik Andreas Martens , Konstantin Klemm

Urban transportation networks are inherently vulnerable to disruptions that affect connectivity and passenger mobility. Traditional graph_theoretic metrics, such as betweenness and degree centrality, offer insights into local network…

Physics and Society · Physics 2025-10-29 Iman Seyedi , Antonio Candelieri , Enza Messina , Francesco Archetti

In recent times, the domain of network science has become extremely useful in understanding the underlying structure of various real-world networks and to answer non-trivial questions regarding them. In this study, we rigourously analyze…

Physics and Society · Physics 2015-12-21 Atanu Chatterjee

Real-world networks are neither regular nor random, a fact elegantly explained by mechanisms such as the Watts-Strogatz or the Barabasi-Albert models, among others. Both mechanisms naturally create shortcuts and hubs, which while enhancing…

Physics and Society · Physics 2023-07-03 Ernesto Estrada , Jesús Gómez-Gardeñes , Lucas Lacasa

Active adaptive matter has attracted considerable interest due to its rich, largely unexplained dynamics and its relevance to a wide range of synthetic and biological materials. An important subclass of such systems consists of active…

Soft Condensed Matter · Physics 2026-02-05 William G. C. Oropesa , P. de Castro , Hartmut Löwen , Danilo B. Liarte

In real networks complex topological features are often associated with a diversity of interactions as measured by the weights of the links. Moreover, spatial constraints may as well play an important role, resulting in a complex interplay…

Physics and Society · Physics 2014-11-18 Luca Dall'Asta , Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Oblivious routing has a long history in both the theory and practice of networking. In this work we initiate the formal study of oblivious routing in the context of reconfigurable networks, a new architecture that has recently come to the…

Data Structures and Algorithms · Computer Science 2021-11-18 Daniel Amir , Tegan Wilson , Vishal Shrivastav , Hakim Weatherspoon , Robert Kleinberg , Rachit Agarwal

Critical infrastructures form a technological skeleton of our world by providing us with water, food, electricity, gas, transportation, communication, banking, and finance. Moreover, as urban population increases, the role of…

Physics and Society · Physics 2017-01-04 Konstantin Zuev , Michael Beer

Network structures in a wide array of systems such as social networks, transportation, power and water distribution infrastructures, and biological and ecological systems can exhibit critical thresholds or tipping points beyond which there…

Transportation infrastructures, particularly those supporting intermodal freight, are vulnerable to natural disasters and man-made disasters that could lead to severe service disruptions. These disruptions can drastically degrade the…

Optimization and Control · Mathematics 2024-02-06 Majbah Uddin , Nathan Huynh

Urban rail transit is the backbone of urban transportation, and thus it is significant to understand its vulnerability, i.e., whether the system can still maintain normal operations when facing operational disturbances with different…

Dynamical Systems · Mathematics 2022-10-11 Shouzheng Pan , Jia He , Ning Jia , Der-Horng Lee , Zhengbing He

With the increasing scale of communication networks, the likelihood of failures grows as well. Since these networks form a critical backbone of our digital society, it is important that they rely on robust routing algorithms which ensure…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-01 Christoph Lenzen , Moti Medina , Mehrdad Saberi , Stefan Schmid