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From transportation networks to complex infrastructures, and to social and economic networks, a large variety of systems can be described in terms of multiplex networks formed by a set of nodes interacting through different network layers.…

Social and Information Networks · Computer Science 2015-09-15 Dawei Zhao , Lianhai Wang , Zhen Wang

Network controllability measures how well a networked system can be controlled to a target state, and its robustness reflects how well the system can maintain the controllability against malicious attacks by means of node-removals or…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Yang Lou , Yaodong He , Lin Wang , Guanrong Chen

This paper investigates the robustness of strong structural controllability for linear time-invariant and linear time-varying directed networks with respect to structural perturbations, including edge deletions and additions. In this…

Dynamical Systems · Mathematics 2020-05-26 Shima Sadat Mousavi , Mohammad Haeri , Mehran Mesbahi

Network robustness against attacks is one of the most fundamental researches in network science as it is closely associated with the reliability and functionality of various networking paradigms. However, despite the study on intrinsic…

Social and Information Networks · Computer Science 2015-06-23 Pin-Yu Chen , Shin-Ming Cheng

This paper studies the controllability backbone problem in dynamical networks defined over graphs. The main idea of the controllability backbone is to identify a small subset of edges in a given network such that any subnetwork containing…

Systems and Control · Electrical Eng. & Systems 2023-09-07 Obaid Ullah Ahmad , Waseem Abbas , Mudassir Shabbir

To understand the controllability of complex networks is a forefront problem relevant to different fields of science and engineering. Despite recent advances in network controllability theories, an outstanding issue is to understand the…

Physics and Society · Physics 2016-07-01 Zhesi Shen , Wen-Xu Wang , Chen Zhao , Ying-Cheng Lai

We investigate the robustness of random networks reinforced by adding hidden edges against targeted attacks. This study focuses on two types of reinforcement: uniform reinforcement, where edges are randomly added to all nodes, and selective…

Physics and Society · Physics 2024-07-30 Tomoyo Kawasumi , Takehisa Hasegawa

Previous studies on the invulnerability of scale-free networks under edge attacks supported the conclusion that scale-free networks would be fragile under selective attacks. However, these studies are based on qualitative methods with…

Social and Information Networks · Computer Science 2012-11-15 Bojin Zheng , Hongrun Wu , Wenhua Du , Wanneng Shu , Jun Qin

Network controllability robustness reflects how well a networked system can maintain its controllability against destructive attacks. Its measure is quantified by a sequence of values that record the remaining controllability of the network…

Physics and Society · Physics 2022-10-14 Yang Lou , Yaodong He , Lin Wang , Kim Fung Tsang , Guanrong Chen

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

To better understand the correlation between network topological features and the robustness of network controllability in a general setting, this paper suggests a practical approach to searching for optimal network topologies with given…

Systems and Control · Electrical Eng. & Systems 2020-09-02 Yang Lou , Lin Wang , Kim Fung Tsang , Guanrong Chen

With increasingly ambitious initiatives such as GENI and FIND that seek to design the future Internet, it becomes imperative to define the characteristics of robust topologies, and build future networks optimized for robustness. This paper…

Networking and Internet Architecture · Computer Science 2009-09-25 Ali Sydney , Caterina Scoglio , Mina Youssef , Phillip Schumm

The interaction of distinct units in physical, social, biological and technological systems naturally gives rise to complex network structures. Networks have constantly been in the focus of research for the last decade, with considerable…

Physics and Society · Physics 2012-08-20 Tamás Nepusz , Tamás Vicsek

Network robustness is an essential system property to sustain functionality in the face of failures or targeted attacks. Currently, only the connectivity of the nodes unaffected by an attack is utilized to assess robustness. We propose to…

Physics and Society · Physics 2023-01-18 Marcus Engsig , Alejandro Tejedor , Yamir Moreno

Given a network, the critical node detection problem finds a subset of nodes whose removal disrupts the network connectivity. Since many real-world systems are naturally modeled as graphs, assessing the vulnerability of the network is…

Discrete Mathematics · Computer Science 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

This paper studies the problem of selecting input nodes (leaders) to make networks strong structurally controllable despite misbehaving nodes and edges. We utilize a graph-based characterization of network strong structural controllability…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Waseem Abbas

Network robustness against attacks has been widely studied in fields as diverse as the Internet, power grids and human societies. Typically, in these studies, robustness is assessed only in terms of the connectivity of the nodes unaffected…

Physics and Society · Physics 2014-03-17 Alejandro Tejedor , Anthony Longjas , Ilya Zaliapin , Samuel Ambroj , Efi Foufoula-Georgiou

We introduce the concept of control centrality to quantify the ability of a single node to control a directed weighted network. We calculate the distribution of control centrality for several real networks and find that it is mainly…

Physics and Society · Physics 2013-01-01 Yang-Yu Liu , Jean-Jacques Slotine , Albert-László Barabási

Graph Neural Networks (GNNs) have achieved promising results in tasks such as node classification and graph classification. However, recent studies reveal that GNNs are vulnerable to backdoor attacks, posing a significant threat to their…

Machine Learning · Computer Science 2025-03-13 Zhiwei Zhang , Minhua Lin , Junjie Xu , Zongyu Wu , Enyan Dai , Suhang Wang

This paper studies the problem of designing networks that are strong structurally controllable, and robust simultaneously. For given network specifications, including the number of nodes $N$, the number of leaders $N_L$, and diameter $D$,…

Systems and Control · Electrical Eng. & Systems 2023-03-13 Priyanshkumar I. Patel , Johir Suresh , Waseem Abbas
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