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In heterogeneous network systems such as ecological and social networks, structural stability depends on how connectivity changes under node removal, as different removal sequences can trigger distinct modes of systemic collapse. While…

Physics and Society · Physics 2026-05-01 Yeonsu Jeong , Deok-Sun Lee , Mi Jin Lee , Seung-Woo Son

Since its recent introduction, the small-world effect has been identified in several important real-world systems. Frequently, it is a consequence of the existence of a few long-range connections, which dominate the original regular…

Physics and Society · Physics 2011-05-05 Matheus P. Viana , Luciano da F. Costa

We propose and study a model of traffic in communication networks. The underlying network has a structure that is tunable between a scale-free growing network with preferential attachments and a random growing network. To model realistic…

Networking and Internet Architecture · Computer Science 2008-06-12 Zonghua Liua , Weichuan Ma , Huan Zhang , Yin Sun , P. M. Hui

Wireless sensor networks (WSNs) have many potential applications [1, 5] and unique challenges. They usually consist of hundreds or thousands small sensor nodes such as MICA2, which operate autonomously; conditions such as cost, invisible…

Cryptography and Security · Computer Science 2011-03-30 Shahriar Mohammadi , Hossein Jadidoleslamy

We model smart grids as complex interdependent networks, and study targeted attacks on smart grids for the first time. A smart grid consists of two networks: the power network and the communication network, interconnected by edges.…

Social and Information Networks · Computer Science 2015-02-19 Sushmita Ruj , Arindam Pal

We systematically study and compare damage spreading for random Boolean and threshold networks under small external perturbations (damage), a problem which is relevant to many biological networks. We identify a new characteristic…

Disordered Systems and Neural Networks · Physics 2008-04-30 Thimo Rohlf , Natali Gulbahce , Christof Teuscher

Being motivated by recent developments in the theory of complex networks, we examine the robustness of communication networks under intentional attack that takes down network nodes in a decreasing order of their nodal degrees. In this…

Networking and Internet Architecture · Computer Science 2007-05-23 Shi Xiao , Gaoxi Xiao

We live in a modern world supported by large, complex networks. Examples range from financial markets to communication and transportation systems. In many realistic situations the flow of physical quantities in the network, as characterized…

Disordered Systems and Neural Networks · Physics 2009-11-10 Adilson E. Motter , Ying-Cheng Lai

The stability of networks is greatly influenced by their degree distributions and in particular by their broadness. Networks with broader degree distributions are usually more robust to random failures but less robust to localized attacks.…

Physics and Society · Physics 2015-09-23 Xin Yuan , Shuai Shao , H. Eugene Stanley , Shlomo Havlin

In this paper we propose an alternative approach for the assessment of network vulnerability under random and intentional attacks as compared to the results obtained from the "vulnerability function" given by Criado et al. [Criado et al.…

Computational Physics · Physics 2011-01-12 A. Yazdani , P. Jeffrey

The cover time of random walks on a graph has found wide practical applications in different fields of computer science, such as crawling and searching on the World Wide Web and query processing in sensor networks, with the application…

Social and Information Networks · Computer Science 2023-04-11 Wanyue Xu , Zhongzhi Zhang

Growing networks decorated with antiferromagnetically coupled spins are archetypal examples of complex systems due to the frustration and the multivalley character of their energy landscapes. Here we use the damage spreading method (DS) to…

Disordered Systems and Neural Networks · Physics 2015-05-13 Joanna Tomkowicz , Krzysztof Kulakowski

Previous work on network coding capacity for random wired and wireless networks have focused on the case where the capacities of links in the network are independent. In this paper, we consider a more realistic model, where wireless…

Information Theory · Computer Science 2008-11-11 Zhenning Kong , Salah A. Aly , Emina Soljanin , Edmund M. Yeh , Andreas Klappenecker

Various real-life networks exhibit degree correlations and heterogeneous structure, with the latter being characterized by power-law degree distribution $P(k)\sim k^{-\gamma}$, where the degree exponent $\gamma$ describes the extent of…

Physics and Society · Physics 2009-03-31 Zhongzhi Zhang , Yichao Zhang , Shuigeng Zhou , Ming Yin , Jihong Guan

A random vector functional link network (RVFL) is widely used as a universal approximator for classification and regression problems. The big advantage of RVFL is fast training without backpropagation. This is because the weights and biases…

Machine Learning · Computer Science 2020-03-31 Grzegorz Dudek

Network growth is currently explained through mechanisms that rely on node prestige measures, such as degree or fitness. In many real networks those who create and connect nodes do not know the prestige values of existing nodes, but only…

Disordered Systems and Neural Networks · Physics 2007-05-23 Santo Fortunato , Alessandro Flammini , Filippo Menczer

Networks are a useful representation for data on connections between units of interests, but the observed connections are often noisy and/or include missing values. One common approach to network analysis is to treat the network as a…

Methodology · Statistics 2017-05-22 Yun-Jhong Wu , Elizaveta Levina , Ji Zhu

Quantum networks will play a key role in distributed quantum information processing. As the network size increases, network-level errors like random breakdown and intentional attack are inevitable; therefore, it is important to understand…

Quantum Physics · Physics 2021-08-17 Bingzhi Zhang , Quntao Zhuang

The discrepancy between the upper bound on throughput in wireless networks and the throughput scaling in random networks which is also known as the connectivity-throughput trade-off is analyzed. In a random network with $\lambda$ nodes per…

Information Theory · Computer Science 2010-08-23 Ralph Tanbourgi , Holger Jäkel , Friedrich K. Jondral

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