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Virtually all real-world networks are dynamical entities. In social networks, the propensity of nodes to engage in social interactions (activity) and their chances to be selected by active nodes (attractiveness) are heterogeneously…

物理与社会 · 物理学 2017-06-13 Laura Alessandretti , Kaiyuan Sun , Andrea Baronchelli , Nicola Perra

Using the dynamics of information propagation on a network as our illustrative example, we present and discuss a systematic approach to quantifying heterogeneity and its propagation that borrows established tools from Uncertainty…

This paper explores a variety of strategies for understanding the formation, structure, efficiency and vulnerability of water distribution networks. Water supply systems are studied as spatially organized networks for which the practical…

物理与社会 · 物理学 2011-04-04 A. Yazdani , P. Jeffrey

The measurement called accessibility has been proposed as a means to quantify the efficiency of the communication between nodes in complex networks. This article reports important results regarding the properties of the accessibility,…

物理与社会 · 物理学 2013-05-30 Matheus P. Viana , João L. B. Batista , Luciano da F. Costa

We derive the mean-field equations characterizing the dynamics of a rumor process that takes place on top of complex heterogeneous networks. These equations are solved numerically by means of a stochastic approach. First, we present…

统计力学 · 物理学 2009-11-10 Yamir Moreno , Maziar Nekovee , Amalio. F. Pacheco

Modern networks are becoming increasingly interdependent. As a prominent example, the smart grid is an electrical grid controlled through a communications network, which in turn is powered by the electrical grid. Such interdependencies…

网络与互联网体系结构 · 计算机科学 2016-11-17 Agostino Sturaro , Simone Silvestri , Mauro Conti , Sajal K. Das

A pivotal idea in network science, marketing research and innovation diffusion theories is that a small group of nodes -- called influencers -- have the largest impact on social contagion and epidemic processes in networks. Despite the…

物理与社会 · 物理学 2018-12-12 Flavio Iannelli , Manuel Sebastian Mariani , Igor M. Sokolov

Engineering projects are the result of the combined effort of their members. Yet, it has been documented that labor division withing projects is unevenly distributed: some project members are specialists undertaking only few tasks, whereas…

软件工程 · 计算机科学 2026-04-21 Sebastiano A. Piccolo , Giorgio Terracina

We present a detailed analytical and numerical study for the spreading of infections in complex population networks with acquired immunity. We show that the large connectivity fluctuations usually found in these networks strengthen…

统计力学 · 物理学 2009-11-07 Yamir Moreno , Romualdo Pastor-Satorras , Alessandro Vespignani

A networked system can be made resilient against adversaries and attacks if the underlying network graph is structurally robust. For instance, to achieve distributed consensus in the presence of adversaries, the underlying network graph…

系统与控制 · 电气工程与系统科学 2019-07-26 Faiq Ghawash , Waseem Abbas

Homophily, the tendency of similar nodes to connect, is a fundamental phenomenon in network science and a critical factor in the performance of graph neural networks (GNNs). While existing studies primarily explore homophily in homogeneous…

社会与信息网络 · 计算机科学 2025-11-18 Zhen Tao , Ziyue Qiao , Chaoqi Chen , Zhengyi Yang , Lun Du , Qingqiang Sun

The numerous expanding online social networks offer fast channels for misinformation spreading, which could have a serious impact on socioeconomic systems. Researchers across multiple areas have paid attention to this issue with a view of…

物理与社会 · 物理学 2020-01-08 Jiajun Xian , Dan Yang , Liming Pan , Wei Wang , Zhen Wang

Traffic fluctuation has so far been studied on unweighted networks. However many real traffic systems are better represented as weighted networks, where nodes and links are assigned a weight value representing their physical properties such…

统计力学 · 物理学 2011-11-11 Yichao Zhang , Shi Zhou , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou , Guanrong Chen

We consider performance deterioration of interconnected linear dynamical networks subject to exogenous stochastic disturbances. The focus of this paper is on first-order and second-order linear consensus networks. We employ the expected…

最优化与控制 · 数学 2014-12-19 Milad Siami , Nader Motee

We use real-world contact sequences, time-ordered lists of contacts from one person to another, to study how fast information or disease can spread across network of contacts. Specifically we measure the reachability time -- the average…

其他凝聚态物理 · 物理学 2007-05-23 Petter Holme

The concept of 'complexity' plays a central role in complex network science. Traditionally, this term has been taken to express heterogeneity of the node degrees of a therefore complex network. However, given that the degree distribution is…

物理与社会 · 物理学 2021-07-01 Éverton F. da Cunha , Luciano da F. Costa

Modern grid monitoring equipment enables utilities to collect detailed records of power interruptions. These data are aggregated to compute publicly reported metrics describing high-level characteristics of grid performance. The current…

物理与社会 · 物理学 2019-01-14 Laurel N. Dunn , Michael D. Sohn , Kristina Hamachi Lacommare , Joseph H. Eto

We address the problem of distributed state estimation of a linear dynamical process in an attack-prone environment. Recent attempts to solve this problem impose stringent redundancy requirements on the measurement and communication…

系统与控制 · 电气工程与系统科学 2020-01-22 Aritra Mitra , Faiq Ghawash , Shreyas Sundaram , Waseem Abbas

The increasing urban population imposes a substantial and growing burden on the supporting infrastructure, such as electricity, water, heating, natural gas, road transportation, etc. This paper presents a Hetero-functional graph theory…

系统与控制 · 电气工程与系统科学 2021-04-30 Sai Munikoti , Kexing Lai , Balasubramaniam Natarajan

The concept of entropy rate for a dynamical process on a graph is introduced. We study diffusion processes where the node degrees are used as a local information by the random walkers. We describe analitically and numerically how the degree…

统计力学 · 物理学 2009-11-13 Jesus Gomez-Gardenes , Vito Latora