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Hierarchical networks actually have many applications in the real world. Firstly, we propose a new class of hierarchical networks with scale-free and fractal structure, which are the networks with triangles compared to traditional…

Combinatorics · Mathematics 2022-11-23 Jia-Bao Liu , Yan Bao , Wu-Ting Zheng

Many public services are produced in networked systems where quality depends on local effort and on how higher-level authorities monitor providers. We develop a simple model in which monitoring is a public good on a network with strategic…

General Economics · Economics 2025-12-01 Guy Tchuente

In the electrical grid, the distribution system is themost vulnerable to severe weather events. Well-placed and coordinatedupgrades, such as the combination of microgrids, systemhardening and additional line redundancy, can greatly reduce…

Computational Engineering, Finance, and Science · Computer Science 2017-05-24 Arthur Barnes , Harsha Nagarajan , Emre Yamangil , Russell Bent , Scott Backhaus

Many real life networks, such as the World Wide Web, transportation systems, biological or social networks, achieve both a strong local clustering (nodes have many mutual neighbors) and a small diameter (maximum distance between any two…

Condensed Matter · Physics 2009-11-07 Francesc Comellas , Michael Sampels

Graphical models are frequently used to represent topological structures of various complex networks. Current criteria to assess different models of a network mainly rely on how close a model matches the network in terms of topological…

Networking and Internet Architecture · Computer Science 2015-03-17 Zhengping Fan , Guanrong Chen , Yunong Zhang

Designing and optimizing the structure of urban transportation networks is a challenging task. In this study, we propose a method inspired by optimal transport theory and the principle of economy of scale that uses little information in…

Physics and Society · Physics 2024-10-10 Daniela Leite , Caterina De Bacco

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

We introduce a heterogeneous connection model for network formation to capture the effect of cost heterogeneity on the structure of efficient networks. In the proposed model, connection costs are assumed to be separable, which means the…

Economics · Quantitative Finance 2015-12-14 Babak Heydari , Mohsen Mosleh , Kia Dalili

Software-Defined Networking (SDN) allows to control the available network resources by an intelligent and centralized authority in order to optimize traffic flows in a flexible manner. However, centralized control may face scalability…

Networking and Internet Architecture · Computer Science 2014-08-29 Benjamin J. van Asten , Niels L. M. van Adrichem , Fernando A. Kuipers

Networks are universally considered as complex structures of interactions of large multi-component systems. In order to determine the role that each node has inside a complex network, several centrality measures have been developed. Such…

Physics and Society · Physics 2019-08-20 Malbor Asllani , Bruno Requiao da Cunha , Ernesto Estrada , James P. Gleeson

The complex interconnections between heterogeneous critical infrastructure sectors make the system of systems (SoS) vulnerable to natural or human-made disasters and lead to cascading failures both within and across sectors. Hence, the…

Systems and Control · Computer Science 2018-09-10 Linan Huang , Juntao Chen , Quanyan Zhu

We study the effects of the allocation of distributed generation on the resilience of power grids. We find that an unconstrained allocation and growth of the distributed generation can drive a power grid beyond its design parameters. In…

Physics and Society · Physics 2014-02-06 Antonio Scala , Mario Mureddu , Alessandro Chessa , Guido Caldarelli , Alfonso Damiano

One of the most important features observed in real networks is that, as a network's topology evolves so does the network's ability to perform various complex tasks. To explain this, it has also been observed that as a network grows certain…

Physics and Society · Physics 2017-12-06 L. A. Bunimovich , D. C. Smith , B. Z. Webb

One of the most important features of spatial networks such as transportation networks, power grids, Internet, neural networks, is the existence of a cost associated with the length of links. Such a cost has a profound influence on the…

Physics and Society · Physics 2013-06-04 Rémi Louf , Pablo Jensen , Marc Barthelemy

Modern world builds on the resilience of interdependent infrastructures characterized as complex networks. Recently, a framework for analysis of interdependent networks has been developed to explain the mechanism of resilience in…

Physics and Society · Physics 2015-06-16 Peng Zhang , Baisong Cheng , Zhuang Zhao , Daqing Li , Guangquan Lu , Yunpeng Wang , Jinghua Xiao

Despite its importance for practical applications, not much is known about the optimal shape of a network that connects in an efficient way a set of points. This problem can be formulated in terms of a multiplex network with a fast layer…

Physics and Society · Physics 2023-11-13 Siddharth Patwardhan , Marc Barthelemy , Sirag Erkol , Santo Fortunato , Filippo Radicchi

It is often desirable to assess how well a given dataset is described by a given model. In network science, for instance, one often wants to say that a given real-world network appears to come from a particular network model. In statistical…

The emergence of large-scale connectivity underlies the proper functioning of many networked systems, ranging from social networks and technological infrastructure to global trade networks. Percolation theory characterizes network formation…

Physics and Society · Physics 2018-06-20 Malte Schröder , Jan Nagler , Marc Timme , Dirk Witthaut

This paper introduces a framework for studying the interactions of autonomous system components and the design of the connectivity structure in Systems of Systems (SoSs). This framework, which uses complex network models, is also used to…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-05 Mohsen Mosleh , Peter Ludlow , Babak Heydari

Recent progress in network topology modeling [1], [2] has shown that it is possible to create smaller-scale replicas of large complex networks, like the Internet, while simultaneously preserving several important topological properties.…

Networking and Internet Architecture · Computer Science 2015-08-18 Constantinos Psomas , Fragkiskos Papadopoulos