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The pivotal quality of proximity graphs is connectivity, i.e. all nodes in the graph are connected to one another either directly or via intermediate nodes. These types of graphs are robust, i.e., they are able to function well even if they…

Physics and Society · Physics 2016-12-28 Christoph Norrenbrock , Oliver Melchert , Alexander K. Hartmann

Complex networks with heterogeneous distribution of loads may undergo a global cascade of overload failures when highly loaded nodes or edges are removed due to attacks or failures. Since a small attack or failure has the potential to…

Disordered Systems and Neural Networks · Physics 2007-05-23 Adilson E. Motter

The vulnerability of networks to targeted attacks is an issue of widespread interest for policymakers, military strategists, network engineers and systems biologists alike. Current approaches to circumvent targeted attacks seek to increase…

Molecular Networks · Quantitative Biology 2021-09-28 Sai Saranga Das M , Karthik Raman

In this paper, robustness of planar trivalent random graphs to targeted attacks of highest connected nodes is investigated using numerical simulations. It is shown that these graphs are relatively robust. The nonrandom node removal process…

Statistical Mechanics · Physics 2009-11-13 J. -P. Kownacki

Network interdiction problems by deleting critical nodes have wide applications. However, node deletion is not always feasible in certain practical scenarios. We consider the maximum shortest path interdiction problem by upgrading nodes on…

Optimization and Control · Mathematics 2025-04-08 Qiao Zhang , Xiao Li , Xiucui Guan , Panos M. Pardalos

In this paper, we study the robustness of graph convolutional networks (GCNs). Previous work have shown that GCNs are vulnerable to adversarial perturbation on adjacency or feature matrices of existing nodes; however, such attacks are…

Machine Learning · Computer Science 2020-09-07 Xiaoyun Wang , Minhao Cheng , Joe Eaton , Cho-Jui Hsieh , Felix Wu

A central issue in complex networks is tolerance to random failures and intentional attacks. Current literature emphasizes the dichotomy between networks with a power-law node connectivity distribution, which are robust to random failures…

Statistical Mechanics · Physics 2009-11-10 Andre X. C. N. Valente , Abhijit Sarkar , Howard A. Stone

We study cascading failures in smart grids, where an attacker selectively compromises the nodes with probabilities proportional to their degrees, betweenness, or clustering coefficient. This implies that nodes with high degrees,…

Social and Information Networks · Computer Science 2022-06-28 Sushmita Ruj , Arindam Pal

Extensive researches have been dedicated to investigating the performance of real networks and synthetic networks against random failures or intentional attack guided by degree (degree attack). Degree is one of straightforward measures to…

Physics and Society · Physics 2011-09-26 Hui Wang , Jinyuan Huang , Xiaomin Xu , Yanghua Xiao , Wei Wang

This paper describes a graph clustering algorithm that aims to minimize the normalized cut criterion and has a model order selection procedure. The performance of the proposed algorithm is comparable to spectral approaches in terms of…

Artificial Intelligence · Computer Science 2011-05-06 Seyed Salim Tabatabaei , Mark Coates , Michael Rabbat

The resilience of Supervisory Control and Data Acquisition (SCADA) systems for electric power networks for certain cyber-attacks is considered. We analyze the vulnerability of the measurement system to false data attack on communicated…

Optimization and Control · Mathematics 2013-02-18 Julien M. Hendrickx , Karl Henrik Johansson , Raphael M. Jungers , Henrik Sandberg , Kin Cheong Sou

To enhance robustness of complex networked systems, a simple method is introducing reinforced nodes which always function during failure propagation. A random scheme of node reinforcement can be considered as a benchmark for finding an…

Physics and Society · Physics 2023-06-27 Rui Ma , Yanqing Hu , Jin-Hua Zhao

In this paper, we present algorithms for designing networks that are robust to node failures with minimal or limited number of links. We present algorithms for both the static network setting and the dynamic network setting; setting where…

Data Structures and Algorithms · Computer Science 2022-11-09 Deepan Muthirayan , Pramod P. Khargonekar

Resilience and robustness are important properties in the reliability and attack-tolerance analysis of networks. In recent decades, various qualitative and heuristic-based quantitative approaches have made significant contributions in…

Optimization and Control · Mathematics 2022-12-15 Milad Dehghani Filabadi

Scale-free networks with small power law exponent are known to be robust, meaning that their qualitative topological structure cannot be altered by random removal of even a large proportion of nodes. By contrast, it has been argued in the…

Probability · Mathematics 2013-08-23 Maren Eckhoff , Peter Mörters

Network dismantling is a relevant research area in network science, gathering attention both from a theoretical and an operational point of view. Here, we propose a general framework for dismantling that prioritizes the removal of nodes…

Physics and Society · Physics 2022-09-29 Federico Musciotto , Salvatore Micciché

Suppose there is a spreading process such as an infectious disease propagating on a graph. How would we reduce the number of affected nodes in the spreading process? This question appears in recent studies about implementing mobility…

Social and Information Networks · Computer Science 2023-03-17 Dongyue Li , Tina Eliassi-Rad , Hongyang R. Zhang

Learning low-level node embeddings using techniques from network representation learning is useful for solving downstream tasks such as node classification and link prediction. An important consideration in such applications is the…

Machine Learning · Computer Science 2021-02-16 Viresh Gupta , Tanmoy Chakraborty

Edge-centric distributed computations have appeared as a recent technique to improve the shortcomings of think-like-a-vertex algorithms on large scale-free networks. In order to increase parallelism on this model, edge partitioning -…

Data Structures and Algorithms · Computer Science 2018-10-12 Sebastian Schlag , Christian Schulz , Daniel Seemaier , Darren Strash

It is a critical issue to compute the shortest paths between nodes in networks. Exact algorithms for shortest paths are usually inapplicable for large scale networks due to the high computational complexity. In this paper, we propose a…

Social and Information Networks · Computer Science 2015-06-29 Shi-nan Gong , Duan-bing Chen , Hui Gao , Guan-nan Wang , Liang-wei Wang
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