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The function or performance of a network is strongly dependent on its robustness, quantifying the ability of the network to continue functioning under perturbations. While a wide variety of robustness metrics have been proposed, they have…

社会与信息网络 · 计算机科学 2023-06-16 Liwang Zhu , Qi Bao , Zhongzhi Zhang

The H-index of a node in a static network is the maximum value $h$ such that at least $h$ of its neighbors have a degree of at least $h$. Recently, a generalized version, the $n$-th order H-index, was introduced, allowing to relate degree…

社会与信息网络 · 计算机科学 2023-05-26 Lutz Oettershagen , Nils M. Kriege , Petra Mutzel

Real-world complex systems exhibit multiple levels of relationships. In many cases they require to be modeled as interconnected multilayer networks, characterizing interactions of several types simultaneously. It is of crucial importance in…

物理与社会 · 物理学 2024-12-06 Albert Solé-Ribalta , Manlio De Domenico , Sergio Gómez , Alex Arenas

We study diffusion and consensus dynamics in a Network of Networks model. In this model, there is a collection of sub-networks, connected to one another using a small number of links. We consider a setting where the links between networks…

社会与信息网络 · 计算机科学 2020-02-17 Yuhao Yi , Anirban Das , Stacy Patterson , Bassam Bamieh , Zhongzhi Zhang

Networks are known to be prone to link failures. In this paper we set out to investigate how networks of varying connectivity patterns respond to different link failure schemes in terms of connectivity, clustering coefficient and shortest…

物理与社会 · 物理学 2016-08-14 Serdar Çolak , Hilmi Luş , Ali Rana Atılgan

We propose a unified theoretical framework for quantifying spatio-temporal interactions in a stochastic dynamical system based on information geometry. In the proposed framework, the degree of interactions is quantified by the divergence…

神经元与认知 · 定量生物学 2016-12-08 Masafumi Oizumi , Naotsugu Tsuchiya , Shun-ichi Amari

We investigate the problem of enforcing a desired centrality measure in complex networks, while still keeping the original pattern of the network. Specifically, by representing the network as a graph with suitable nodes and weighted edges,…

物理与社会 · 物理学 2025-03-13 Stefano Cipolla , Fabio Durastante , Beatrice Meini

Transit operators need vulnerability measures to understand the level of service degradation under disruptions. This paper contributes to the literature with a novel causal inference approach for estimating station-level vulnerability in…

应用统计 · 统计学 2020-11-24 Nan Zhang , Daniel J. Graham , Daniel Hörcher , Prateek Bansal

This paper investigates the localization problem of a network in 2-D and 3-D spaces given the positions of anchor nodes in a global frame and inter-node relative measurements in local coordinate frames. It is assumed that the local frames…

系统与控制 · 电气工程与系统科学 2023-12-20 Xu Fang , Xiaolei Li , Lihua Xie

In an increasingly connected world, the resilience of networked dynamical systems is important in the fields of ecology, economics, critical infrastructures, and organizational behaviour. Whilst we understand small-scale resilience well,…

适应与自组织系统 · 物理学 2018-08-21 Giannis Moutsinas , Weisi Guo

Assortativity measures the tendency of a vertex in a network being connected by other vertexes with respect to some vertex-specific features. Classical assortativity coefficients are defined for unweighted and undirected networks with…

应用统计 · 统计学 2021-01-15 Yelie Yuan , Jun Yan , Panpan Zhang

The random walk is fundamental to modeling dynamic processes on networks. Metrics based on the random walk have been used in many applications from image processing to Web page ranking. However, how appropriate are random walks to modeling…

社会与信息网络 · 计算机科学 2011-09-08 Rumi Ghosh , Kristina Lerman , Tawan Surachawala , Konstantin Voevodski , Shang-Hua Teng

A new characteristic of paired nodes in a directed weight complex network is considered. A method (named as K-method) of the characteristics calculation for complex networks is proposed. The method is based on transforming the initial…

社会与信息网络 · 计算机科学 2019-06-26 Andrei Snarskii , Dmyto Lande , Dmyto Manko

Recent development of network structure analysis shows that it plays an important role in characterizing complex system of many branches of sciences. Different from previous network centrality measures, this paper proposes the notion of…

信息检索 · 计算机科学 2009-02-12 Hai Zhuge , Junsheng Zhang

How to identify the influential spreaders in social networks is crucial for accelerating/hindering information diffusion, increasing product exposure, controlling diseases and rumors, and so on. In this paper, by viewing the k-shell value…

物理与社会 · 物理学 2016-03-30 Ling-Ling Ma , Chuang Ma , Hai-Feng Zhang , Bing-Hong Wang

The network representation is becoming increasingly popular for the description of cardiovascular interactions based on the analysis of multiple simultaneously collected variables. However, the traditional methods to assess network links…

We propose a method to decompose dynamical systems based on the idea that modules constrain the spread of perturbations. We find partitions of system variables that maximize 'perturbation modularity', defined as the autocovariance of…

物理与社会 · 物理学 2022-11-22 Artemy Kolchinsky , Alexander J. Gates , Luis M. Rocha

With great theoretical and practical significance, locating influential nodes of complex networks is a promising issues. In this paper, we propose a dynamics-sensitive (DS) centrality that integrates topological features and dynamical…

社会与信息网络 · 计算机科学 2015-04-28 Jian-Hong Lin , Qiang Guo , Jian-Guo Liu , Tao Zhou

Understanding the role of individual nodes is a key challenge in the study of spreading processes on networks. In this work we propose a novel metric, the reachability-heterogeneity (RH), to quantify the vulnerability of each node with…

社会与信息网络 · 计算机科学 2020-12-02 Iacopo Pozzana , Christos Ellinas , Georgios Kalogridis , Konstantinos Sakellariou

With the development of network science, the various properties of complex networks have recently received extensive attention. Among these properties, the vulnerability of the communities (VoCs) is particularly important. In the…

社会与信息网络 · 计算机科学 2019-12-17 Tao Wen