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A concept of bypass rewiring is introduced and random bypass rewiring is analytically and numerically investigated with simulations. Our results show that bypass rewiring makes networks robust against removal of nodes including random…

Data Analysis, Statistics and Probability · Physics 2017-09-27 Junsang Park , Sang Geun Hahn

Real-world complex systems exhibit intricate interconnections and dependencies, especially social networks, technological infrastructures, and communication networks. These networks are prone to disconnection due to random failures or…

Social and Information Networks · Computer Science 2025-05-23 Rajesh Kumar , Suchi Kumari , Anubhav Mishra

We developed a scheme for evaluating the size of the largest connected subnetwork (giant component) in random networks and the percolation threshold when sites (nodes) and/or bonds (edges) are removed from the networks based on the cavity…

Disordered Systems and Neural Networks · Physics 2010-10-19 Yoshifumi Shiraki , Yoshiyuki Kabashima

We develop a methodology for analyzing the percolation phenomena of two mutually coupled (interdependent) networks based on the cavity method of statistical mechanics. In particular, we take into account the influence of degree-degree…

Disordered Systems and Neural Networks · Physics 2014-02-11 Shunsuke Watanabe , Yoshiyuki Kabashima

We study the robustness properties of multiplex networks consisting of multiple layers of distinct types of links, focusing on the role of correlations between degrees of a node in different layers. We use generating function formalism to…

Physics and Society · Physics 2014-05-02 Byungjoon Min , Su Do Yi , Kyu-Min Lee , K. -I. Goh

Networks with a given degree distribution may be very resilient to one type of failure or attack but not to another. The goal of this work is to determine network design guidelines which maximize the robustness of networks to both random…

Other Condensed Matter · Physics 2009-11-10 G. Paul , T. Tanizawa , S. Havlin , H. E. Stanley

Network topology plays a key role in many phenomena, from the spreading of diseases to that of financial crises. Whenever the whole structure of a network is unknown, one must resort to reconstruction methods that identify the least biased…

Data Analysis, Statistics and Probability · Physics 2015-06-09 Rossana Mastrandrea , Tiziano Squartini , Giorgio Fagiolo , Diego Garlaschelli

Many systems such as critical infrastructure exhibit a modular structure with many links within the modules and few links between them. One approach to increase the robustness of these systems is to reinforce a fraction of the nodes in each…

Physics and Society · Physics 2022-05-11 Yael Kfir-Cohen , Dana Vaknin , Shlomo Havlin

Complex network infrastructure systems for power-supply, communication, and transportation support our economical and social activities, however they are extremely vulnerable against the frequently increasing large disasters or attacks.…

Physics and Society · Physics 2022-04-05 Yukio Hayashi , Atsushi Tanaka , Jun Matsukubo

It is often claimed that the entropy of a network's degree distribution is a proxy for its robustness. Here, we clarify the link between degree distribution entropy and giant component robustness to node removal by showing that the former…

Physics and Society · Physics 2022-09-12 Chris Jones , Karoline Wiesner

Degree correlation is an important characteristic of networks, which is usually quantified by the assortativity coefficient. However, concerns arise about changing the assortativity coefficient of a network when networks suffer from…

Social and Information Networks · Computer Science 2023-10-16 Shuo Zou , Bo Zhou , Qi Xuan

Determining design principles that boost robustness of interdependent networks is a fundamental question of engineering, economics, and biology. It is known that maximizing the degree correlation between replicas of the same node leads to…

Physics and Society · Physics 2019-08-21 Ivan Kryven , Ginestra Bianconi

With increasing threats by large attacks or disasters, the time has come to reconstruct network infrastructures such as communication or transportation systems rather than to recover them as before in case of accidents, because many real…

Physics and Society · Physics 2020-09-03 Yukio Hayashi , Atsushi Tanaka , Jun Matsukubo

In this paper, we consider a network of agents with Laplacian dynamics, and study the problem of improving network robustness by adding a maximum number of edges within the network while preserving a lower bound on its strong structural…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Waseem Abbas , Mudassir Shabbir , Hassan Jaleel , Xenofon Koutsoukos

Bypass rewiring improves connectivity and robustness of networks against removal of nodes including failures and attacks. A concept of bypass rewiring on directed networks is proposed, and random bypass rewiring on infinite directed random…

Physics and Society · Physics 2017-12-15 Junsang Park , Seungwon Shin , Sang Geun Hahn

We study the response of complex networks subject to attacks on vertices and edges. Several existing complex network models as well as real-world networks of scientific collaborations and Internet traffic are numerically investigated, and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Petter Holme , Beom Jun Kim , Chang No Yoon , Seung Kee Han

As a novel technology, cloud computing attracts more and more people including technology enthusiasts and malicious users. Different from the classical network architecture, cloud environment has many its own features which make the…

Cryptography and Security · Computer Science 2015-12-10 Zibin Su , Jing Yuan

Today's communication networks have stringent availability requirements and hence need to rapidly restore connectivity after failures. Modern networks thus implement various forms of fast reroute mechanisms in the data plane, to bridge the…

Networking and Internet Architecture · Computer Science 2021-11-30 Oliver Schweiger , Klaus-Tycho Foerster , Stefan Schmid

Error tolerance and attack vulnerability are two common and important properties of complex networks, which are usually used to evaluate the robustness of a network. Recently, much work has been devoted to determining the network design…

Networking and Internet Architecture · Computer Science 2015-05-13 Jichang Zhao , Ke Xu

In varying degree distributions, we investigate the optimally robust networks against targeted attacks to nodes with higher degrees. In considering that a network tends to have more robustness with a smaller variance of degree…

Physics and Society · Physics 2023-01-18 Masaki Chujyo , Yukio Hayashi , Takehisa Hasegawa