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Antifragility is a property from which systems are able to resist stress and furthermore benefit from it. Even though antifragile dynamics is found in various real-world complex systems where multiple subsystems interact with each other,…

Adaptation and Self-Organizing Systems · Physics 2026-02-04 Hyobin Kim , Omar K. Pineda , Carlos Gershenson

A wide range of complex systems can be modeled as networks with corresponding constraints on the edges and nodes, which have been extensively studied in recent years. Nowadays, with the progress of information technology, systems that…

Physics and Society · Physics 2016-05-24 Han Zhang , Chang-Dong Wang , Jian-Huang Lai , Philip S. Yu

Many complex systems in nature and society can be described in terms of networks capturing the intricate web of connections among the units they are made of. A key question is how to interpret the global organization of such networks as the…

Physics and Society · Physics 2007-05-23 Gergely Palla , Imre Derenyi , Illes Farkas , Tamas Vicsek

This paper studies the robustness of large-scale interconnected systems with respect to external disturbances, focussing on their scalability properties. Specifically, a notion of scalability is introduced that asks for these robustness…

Optimization and Control · Mathematics 2020-05-14 Steffi Knorn , Bart Besselink

A common definition of a robust connection between two nodes in a network such as a communication network is that there should be at least two independent paths connecting them, so that the failure of no single node in the network causes…

Statistical Mechanics · Physics 2008-04-07 M. E. J. Newman , Gourab Ghoshal

Percolation in complex networks is viewed as both: a process that mimics network degradation and a tool that reveals peculiarities of the underlying network structure. During the course of percolation, networks undergo non-trivial…

Physics and Society · Physics 2019-02-05 Ivan Kryven

As two main focuses of the study of complex networks, the community structure and the dynamics on networks have both attracted much attention in various scientific fields. However, it is still an open question how the community structure is…

Physics and Society · Physics 2010-05-11 Xue-Qi Cheng , Hua-Wei Shen

The fundamental concept of applying the system methodology to network analysis declares that network architecture should take into account services and applications which this network provides and supports. This work introduces a formal…

Networking and Internet Architecture · Computer Science 2015-09-03 Andrey A. Shchurov

Air transport is a key infrastructure of modern societies. In this paper we review some recent approaches to air transport, which make extensive use of theory of complex networks. We discuss possible networks that can be defined for the air…

Physics and Society · Physics 2015-06-15 Massimiliano Zanin , Fabrizio Lillo

Most networks of interest do not live in isolation. Instead they form components of larger systems in which multiple networks with distinct topologies coexist and where elements distributed amongst different networks may interact directly.…

Disordered Systems and Neural Networks · Physics 2009-07-07 E. A. Leicht , Raissa M. D'Souza

The new concept of multilevel network is introduced in order to embody some topological properties of complex systems with structures in the mesoscale which are not completely captured by the classical models. This new model, which…

Robustness of network of networks (NON) has been studied only for dependency coupling (J.X. Gao et. al., Nature Physics, 2012) and only for connectivity coupling (E.A. Leicht and R.M. D Souza, arxiv:0907.0894). The case of network of n…

Physics and Society · Physics 2013-10-22 Gaogao Dong , Lixin Tian , Ruijin Du , H. Eugene Stanley

Research on the robustness of the Internet has gained critical importance in the last decades because more and more individuals, societies and firms rely on this global network infrastructure for communication, knowledge transfer, business…

Networking and Internet Architecture · Computer Science 2021-03-10 Milena Oehlers , Benjamin Fabian

Many real-world complex systems are best modeled by multiplex networks. The multiplexity has proved to have broad impact on the system's structure and function. Most theoretical studies on multiplex networks to date, however, have largely…

Physics and Society · Physics 2017-07-28 Byungjoon Min , Sangchul Lee , Kyu-Min Lee , K. -I. Goh

The study of the interplay between the structure and dynamics of complex multilevel systems is a pressing challenge nowadays. In this paper, we use a semi-annealed approximation to study the stability properties of Random Boolean Networks…

Physics and Society · Physics 2012-10-31 Emanuele Cozzo , Alex Arenas , Yamir Moreno

Power generation and distribution remains an important topic of discussion since the industrial revolution. As the system continues to grow, it needs to evolve both in infrastructure, robustness and its resilience to deal with failures. One…

Physics and Society · Physics 2017-12-29 Malvika Singh , Sneha Mandan , Smriti Sharma

Many biological tissues feature a heterogeneous network of fibers whose tensile and bending rigidity contribute substantially to these tissues' elastic properties. Rigidity percolation has emerged as a important paradigm for relating these…

Modern network-like systems are usually coupled in such a way that failures in one network can affect the entire system. In infrastructures, biology, sociology, and economy, systems are interconnected and events taking place in one system…

Data Analysis, Statistics and Probability · Physics 2010-12-02 S. Havlin , N. A. M. Araujo , S. V. Buldyrev , C. S. Dias , R. Parshani , G. Paul , H. E. Stanley

Most current studies estimate the invulnerability of complex networks using a qualitative method that analyzes the inaccurate decay rate of network efficiency. This method results in confusion over the invulnerability of various types of…

Social and Information Networks · Computer Science 2014-02-18 Jun Qin , Hongrun Wu , Xiaonian Tong , Bojin Zheng

The theory of complex networks and of disordered systems is used to study the stability and dynamical properties of a simple model of material flow networks defined on random graphs. In particular we address instabilities that are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Kartik Anand , Tobias Galla