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Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

无序系统与神经网络 · 物理学 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

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.…

物理与社会 · 物理学 2009-11-13 Shan He , Sheng Li , Hongru Ma

The statistical mechanical approach to complex networks is the dominant paradigm in describing natural and societal complex systems. The study of network properties, and their implications on dynamical processes, mostly focus on locally…

统计力学 · 物理学 2013-06-27 Giovanni Petri , Martina Scolamiero , Irene Donato , Francesco Vaccarino

The goals of this paper are to present criteria, that allow to a priori quantify the attack stability of real world correlated networks of finite size and to check how these criteria correspond to analytic results available for infinite…

物理与社会 · 物理学 2012-09-25 B. Berche , C. von Ferber , T. Holovatch , Yu. Holovatch

Networks are useful descriptions of the structure of many complex systems. Unsurprisingly, it is thus important to analyze the robustness of networks in many scientific disciplines. In applications in communication, logistics, finance,…

物理与社会 · 物理学 2024-09-16 Alice C. Schwarze , Jessica Jiang , Jonny Wray , Mason A. Porter

We adapt Forman's discretization of Ricci curvature to the case of undirected networks, both weighted and unweighted, and investigate the measure in a variety of model and real-world networks. We find that most nodes and edges in model and…

分子网络 · 定量生物学 2016-06-23 R. P. Sreejith , Karthikeyan Mohanraj , Jürgen Jost , Emil Saucan , Areejit Samal

We review measures of street network structure proposed in the recent literature, establish their relevance to practice, and identify open challenges facing researchers. These measures' empirical values vary substantially across world…

物理与社会 · 物理学 2024-09-13 Marc Barthelemy , Geoff Boeing

Network tomography, a classic research problem in the realm of network monitoring, refers to the methodology of inferring unmeasured network attributes using selected end-to-end path measurements. In the research community, network…

网络与互联网体系结构 · 计算机科学 2020-01-10 Liang Ma , Ziyao Zhang , Mudhakar Srivatsa

Most real-world networks are embedded in latent geometries. If a node in a network is found in the vicinity of another node in the latent geometry, the two nodes have a disproportionately high probability of being connected by a link. The…

物理与社会 · 物理学 2024-06-19 Bukyoung Jhun

With an increasing emphasis on network security, much more attention has been attracted to the vulnerability of complex networks. The multi-scale evaluation of vulnerability is widely used since it makes use of combined powers of the links'…

社会与信息网络 · 计算机科学 2014-06-03 Li Gou , Bo Wei , Rehan Sadiq , Sankaran Mahadevan , Yong Deng

Graph curvature provides geometric priors for Graph Neural Networks (GNNs), enhancing their ability to model complex graph structures, particularly in terms of structural awareness, robustness, and theoretical interpretability. Among…

机器学习 · 计算机科学 2025-12-29 Chaoqun Fei , Tinglve Zhou , Tianyong Hao , Yangyang Li

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…

社会与信息网络 · 计算机科学 2017-02-01 Alan Kuhnle , Nam P. Nguyen , Thang N. Dinh , My T. Thai

Complex networks obtained from the real-world networks are often characterized by incompleteness and noise, consequences of limited sampling as well as artifacts in the acquisition process. Because the characterization, analysis and…

物理与社会 · 物理学 2008-06-24 P. R. Villas Boas , F. A. Rodrigues , G. Travieso , L. da F. Costa

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…

离散数学 · 计算机科学 2025-12-02 Tuguldur Bayarsaikhan , Altannar Chinchuluun , Ashwin Arulselvan , Panos Pardalos

The resilience of urban rapid transit systems (URTs) to a rapidly evolving threat space is of much concern. Extreme rainfall events are both intensifying and growing more frequent under continuing climate change, exposing transit systems to…

物理与社会 · 物理学 2024-11-01 Aran Chakraborty , Yushi Tsukimoto , August Posch , Jack Watson , Auroop Ganguly

Rapid reliability assessment of transportation networks can enhance preparedness, risk mitigation, and response management procedures related to these systems. Network reliability analysis commonly considers network-level performance and…

机器学习 · 计算机科学 2024-08-26 Tong Liu , Hadi Meidani

Cascading failures represent a fundamental threat to the integrity of complex systems, often precipitating a comprehensive collapse across diverse infrastructures and financial networks. This research articulates a robust and pragmatic…

适应与自组织系统 · 物理学 2024-06-28 Karan Singh , V. K. Chandrasekar , D. V. Senthilkumar

Measuring the vulnerability of communities in complex network has become an important topic in the research of complex system. Numerous existing vulnerability measures have been proposed to solve such problems, however, most of these…

社会与信息网络 · 计算机科学 2019-10-01 Tao Wen , Yong Deng

Determining the key elements of interconnected infrastructure and complex systems is paramount to ensure system functionality and integrity. This work quantifies the dominance of the networks' nodes in their respective neighborhoods,…

物理与社会 · 物理学 2023-11-30 Marcus Engsig , Alejandro Tejedor , Yamir Moreno , Efi Foufoula-Georgiou , Chaouki Kasmi

This article studies the interregional Greek road network (GRN) by applying complex network analysis (CNA) and an empirical approach. The study aims to extract the socioeconomic information immanent to the GRN's topology and to interpret…

物理与社会 · 物理学 2020-03-19 Dimitrios Tsiotas