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We study the robustness of complex networks subject to edge removal. Several network models and removing strategies are simulated. Rather than the existence of the giant component, we use total connectedness as the criterion of breakdown.…

Physics and Society · Physics 2009-11-13 Shan He , Sheng Li , Hongru Ma

Network robustness is critical for various industrial and social networks against malicious attacks, which has various meanings in different research contexts and here it refers to the ability of a network to sustain its functionality when…

Social and Information Networks · Computer Science 2023-02-09 Yang Lou , Lin Wang , Guanrong Chen

This article offers a brief overview of the current research topics concerning strategies to mitigate the adverse effects of perturbations in complex networks. It addresses the issue of an unclear use of Robustness and Resilience…

Physics and Society · Physics 2019-09-17 Ulisses Lacerda de Morais , Luis Antunes

We investigate certain structural properties of random interdependent networks. We start by studying a property known as $r$-robustness, which is a strong indicator of the ability of a network to tolerate structural perturbations and…

Social and Information Networks · Computer Science 2015-08-18 Ebrahim Moradi Shahrivar , Mohammad Pirani , Shreyas Sundaram

The theory of community structure is a powerful tool for real networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks…

Physics and Society · Physics 2015-03-30 Hui-Jia Li , Hao Wang , Luonan Chen

Network robustness is a measure a network's ability to survive adversarial attacks. But not all parts of a network are equal. K-cores, which are dense subgraphs, are known to capture some of the key properties of many real-life networks.…

Social and Information Networks · Computer Science 2020-12-21 Palash Dey , Suman Kalyan Maity , Sourav Medya , Arlei Silva

We explore the resiliency and robustness of systems while viewing them as complex, multi-genre networks. The term "complex, multi-genre networks" refers to networks that combine several distinct genres - networks of physical resources,…

Social and Information Networks · Computer Science 2016-01-26 Alexander Kott , Tarek Abdelzaher

Robustness estimation is critical for the design and maintenance of resilient networks, one of the global challenges of the 21st century. Existing studies exploit network metrics to generate attack strategies, which simulate intentional…

Social and Information Networks · Computer Science 2016-08-16 Sebastian Wandelt , Xiaoqian Sun

Neural networks are very successful at detecting patterns in noisy data, and have become the technology of choice in many fields. However, their usefulness is hampered by their susceptibility to adversarial attacks. Recently, many methods…

Machine Learning · Computer Science 2022-07-14 Marco Casadio , Ekaterina Komendantskaya , Matthew L. Daggitt , Wen Kokke , Guy Katz , Guy Amir , Idan Refaeli

Metros (heavy rail transit systems) are integral parts of urban transportation systems. Failures in their operations can have serious impacts on urban mobility, and measuring their robustness is therefore critical. Moreover, as physical…

Physics and Society · Physics 2015-05-27 Xiangrong Wang , Yakup Koç , Sybil Derrible , Sk Nasir Ahmad , Robert E. Kooij

Robustness in response to unexpected events is always desirable for real-world networks. To improve the robustness of any networked system, it is important to analyze vulnerability to external perturbation such as random failures or…

Social and Information Networks · Computer Science 2017-02-01 Alan Kuhnle , Nam P. Nguyen , Thang N. Dinh , My T. Thai

We propose a complexity measure which addresses the functional flexibility of networks. It is conjectured that the functional flexibility is reflected in the topological diversity of the assigned graphs, resulting from a resolution of their…

Condensed Matter · Physics 2009-11-10 Hildegard Meyer-Ortmanns

In this paper, we study the crucial elements of complex networks, namely nodes, and edges and their properties such as their community structure, which play an important role in dictating the robustness of the network towards structural…

Social and Information Networks · Computer Science 2021-02-04 V. Parimi , A. Pal , S. Ruj , P. Kumaraguru , T. Chakraborty

We investigate a special case of hereditary property in graphs, referred to as {\em robustness}. A property (or structure) is called robust in a graph $G$ if it is inherited by all the connected spanning subgraphs of $G$. We motivate this…

Discrete Mathematics · Computer Science 2019-05-13 Arnaud Casteigts , Swan Dubois , Franck Petit , John M. Robson

Genetic regulatory networks are defined by their topology and by a multitude of continuously adjustable parameters. Here we present a class of simple models within which the relative importance of topology vs. interaction strengths becomes…

Molecular Networks · Quantitative Biology 2013-08-02 Mikhail Tikhonov , William Bialek

Most complex systems are nonlinear, relying on emergent behavior from interacting subsystems, often characterized by oscillatory dynamics. Collective oscillatory behavior is essential for the proper functioning of many real world systems.…

Adaptation and Self-Organizing Systems · Physics 2024-07-03 Soumen Majhi , Biswambhar Rakshit , Amit Sharma , Jürgen Kurths , Dibakar Ghosh

The discovery of community structure is a common challenge in the analysis of network data. Many methods have been proposed for finding community structure, but few have been proposed for determining whether the structure found is…

Data Analysis, Statistics and Probability · Physics 2008-04-29 Brian Karrer , Elizaveta Levina , M. E. J. Newman

The importance of studying properties of networks is manifest in diverse fields ranging from biology, engineering, physics, chemistry, neuroscience, and medicine. The functionality of networks with regard to performance, throughput,…

Molecular Networks · Quantitative Biology 2015-03-27 Allen Tannenbaum , Chris Sander , Liangjia Zhu , Romeil Sandhu , Ivan Kolesov , Eduard Reznik , Yasin Senbabaoglu , Tryphon Georgiou

Robustness to genetic or environmental disturbances is often considered as a key property of living systems. Yet, in spite of being discussed since the 1950s, how robustness emerges from the complexity of genetic architectures and how it…

Populations and Evolution · Quantitative Biology 2022-03-31 Arnaud Le Rouzic

We model the robustness against random failure or intentional attack of networks with arbitrary large-scale structure. We construct a block-based model which incorporates --- in a general fashion --- both connectivity and interdependence…

Physics and Society · Physics 2012-09-25 Tiago P. Peixoto , Stefan Bornholdt