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A central issue in the study of large complex network systems, such as power grids, financial networks, and ecological systems, is to understand their response to dynamical perturbations. Recent studies recognize that many real networks…

适应与自组织系统 · 物理学 2022-07-26 Chao Duan , Takashi Nishikawa , Deniz Eroglu , Adilson E. Motter

A crucial challenge in network theory is the study of the robustness of a network after facing a sequence of failures. In this work, we propose a dynamical definition of network's robustness based on Information Theory, that considers…

For decades, complex networks, such as social networks, biological networks, chemical networks, technological networks, have been used to study the evolution and dynamics of different kinds of complex systems. These complex systems can be…

社会与信息网络 · 计算机科学 2020-12-16 Akrati Saxena

Many dynamical phenomena in complex systems concern spreading that plays out on top of networks with changing architecture over time -- commonly known as temporal networks. A complex system's proneness to facilitate spreading phenomena,…

物理与社会 · 物理学 2022-05-06 Mark M. Dekker , Raoul D. Schram , Jiamin Ou , Debabrata Panja

Many critical infrastructure systems have network structure and are under stress. Despite their national importance, the complexity of large-scale transport networks means we do not fully understand their vulnerabilities to cascade…

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

社会与信息网络 · 计算机科学 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

The power grid defines one of the most important technological networks of our times and sustains our complex society. It has evolved for more than a century into an extremely huge and seemingly robust and well understood system. But it…

物理与社会 · 物理学 2009-11-13 Ricard V. Solé , Martí Rosas-Casals , Bernat Corominas-Murtra , Sergi Valverde

Generally, networks are classified into two sides of inequality and equality with respect to the number of links at nodes by the types of degree distributions. One side includes many social, technological, and biological networks which…

物理与社会 · 物理学 2025-10-01 Yukio Hayashi , Taishi Ogawa

The quest to understand structure-function relationships in networks across scientific disciplines has intensified. However, the optimal network architecture remains elusive, particularly for complex information processing. Therefore, we…

适应与自组织系统 · 物理学 2024-03-27 Manish Yadav , Sudeshna Sinha , Merten Stender

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…

物理与社会 · 物理学 2022-09-12 Chris Jones , Karoline Wiesner

Network motifs are often called the building blocks of networks. Analysis of motifs is found to be an indispensable tool for understanding local network structure, in contrast to measures based on node degree distribution and its functions…

物理与社会 · 物理学 2017-08-23 Asim Kumer Dey , Yulia R. Gel , H. Vincent Poor

We study the mean field approximation of a recent model of cascades on networks relevant to the investigation of systemic risk control in financial networks. In the model, the hypothesis of a trend reinforcement in the stochastic process…

物理与社会 · 物理学 2007-11-13 Jan Lorenz , Stefano Battiston

Centrality metrics have been used in various networks, such as communication, social, biological, geographic, or contact networks. In particular, they have been used in order to study and analyze targeted attack behaviors and investigated…

社会与信息网络 · 计算机科学 2021-07-23 Zelin Wan , Yash Mahajan , Beom Woo Kang , Terrence J. Moore , Jin-Hee Cho

Complex networks have recently attracted much interest due to their prevalence in nature and our daily lives [1, 2]. A critical property of a network is its resilience to random breakdown and failure [3-6], typically studied as a…

物理与社会 · 物理学 2016-01-08 James P. Bagrow , Sune Lehmann , Yong-Yeol Ahn

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,…

Understanding the origins of complexity is a fundamental challenge with implications for biological and technological systems. Network theory emerges as a powerful tool to model complex systems. Networks are an intuitive framework to…

无序系统与神经网络 · 物理学 2024-10-22 Blai Vidiella , Salva Duran-Nebreda , Sergi Valverde

Reliable electricity supply depends on the seamless operation of high-voltage grid infrastructure spanning both transmission and sub-transmission levels. Beneath this apparent uniformity lies a striking structural diversity, which leaves a…

系统与控制 · 电气工程与系统科学 2025-09-17 Bálint Hartmann , Michelle T. Cirunay

The potential of grid-side flexibility, the latent ability to reconfigure transmission network topology remains under-used partly because of the lack of empirical studies on how real-world grids evolve.

社会与信息网络 · 计算机科学 2025-08-01 Bálint Hartmann , Michelle T. Cirunay

The problem of reliability of a large distributed system is analyzed via a new mathematical model. A typical framework is a system where a set of files are duplicated on several data servers. When one of these servers breaks down, all…

概率论 · 数学 2017-06-05 Reza Aghajani , Philippe Robert , Wen Sun

We evolve network topology of an asymmetrically connected threshold network by a simple local rewiring rule: quiet nodes grow links, active nodes lose links. This leads to convergence of the average connectivity of the network towards the…

无序系统与神经网络 · 物理学 2009-10-31 Stefan Bornholdt , Thimo Rohlf