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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,…

Physics and Society · Physics 2023-11-30 Marcus Engsig , Alejandro Tejedor , Yamir Moreno , Efi Foufoula-Georgiou , Chaouki Kasmi

In decentralized optimization, nodes cooperate to minimize an overall objective function that is the sum (or average) of per-node private objective functions. Algorithms interleave local computations with communication among all or a subset…

Optimization and Control · Mathematics 2018-01-16 Angelia Nedić , Alex Olshevsky , Michael G. Rabbat

Identifying the importance of nodes of complex networks is of interest to the research of Social Networks, Biological Networks etc.. Current researchers have proposed several measures or algorithms, such as betweenness, PageRank and HITS…

Social and Information Networks · Computer Science 2012-11-26 Bojin Zheng , Deyi Li , Guisheng Chen , Wenhua Du , Jianmin Wang

We propose a dynamical model of price formation on a spatial market where sellers and buyers are placed on the nodes of a graph, and the distribution of the buyers depends on the positions and prices of the sellers. We find that, depending…

Physics and Society · Physics 2022-11-15 Andrea Civilini , Vito Latora

The centrality in a network is often used to measure nodes' importance and model network effects on a certain outcome. Empirical studies widely adopt a two-stage procedure, which first estimates the centrality from the observed noisy…

Econometrics · Economics 2025-02-26 Junhui Cai , Dan Yang , Ran Chen , Wu Zhu , Haipeng Shen , Linda Zhao

We formulate and propose an algorithm (MultiRank) for the ranking of nodes and layers in large multiplex networks. MultiRank takes into account the full multiplex network structure of the data and exploits the dual nature of the network in…

Physics and Society · Physics 2018-03-06 Christoph Rahmede , Jacopo Iacovacci , Alex Arenas , Ginestra Bianconi

Centrality measures have been defined to quantify the importance of a node in complex networks. The relative importance of a node can be measured using its centrality rank based on the centrality value. In the present work, we predict the…

Social and Information Networks · Computer Science 2016-11-29 Akrati Saxena , Vaibhav Malik , S. R. S. Iyengar

The eigenvector centrality equation $\lambda x = A \, x$ is a successful compromise between simplicity and expressivity. It claims that central actors are those connected with central others. For at least 70 years, this equation has been…

Social and Information Networks · Computer Science 2016-03-11 Massimo Franceschet , Enrico Bozzo

Combinations of Gramian-based centrality measures are used for driver node selection in complex networks in order to simultaneously take into account conflicting control energy requirements, like minimizing the average energy needed to…

Systems and Control · Computer Science 2020-12-17 Gustav Lindmark , Claudio Altafini

Most people simultaneously belong to several distinct social networks, in which their relations can be different. They have opinions about certain topics, which they share and spread on these networks, and are influenced by the opinions of…

Social and Information Networks · Computer Science 2017-06-12 Alexandre Reiffers-Masson , Vincent Labatut

Several centrality measures have been formulated to quantify the notion of 'importance' of actors in social networks. Current measures scrutinize either local or global connectivity of the nodes and have been found to be inadequate for…

Social and Information Networks · Computer Science 2018-06-26 Rakhi Saxena , Sharanjit Kaur , Vasudha Bhatnagar

Knowing which nodes are influential in a complex network and whether the network can be influenced by a small subset of nodes is a key part of network analysis. However, many traditional measures of importance focus on node level…

Physics and Society · Physics 2023-06-27 Niall Rodgers , Peter Tino , Samuel Johnson

A key issue in complex systems regards the relationship between topology and dynamics. In this work, we use a recently introduced network property known as steering coefficient as a means to approach this issue with respect to different…

Physics and Society · Physics 2017-11-27 Paulo J. P. de Souza , Cesar H. Comin , Luciano da F. Costa

The study of the topological structure of complex networks has fascinated researchers for several decades, and today we have a fairly good understanding of the types and reoccurring characteristics of many different complex networks.…

Social and Information Networks · Computer Science 2014-06-23 Matthieu Roy , Stefan Schmid , Gilles Trédan

This paper develops tools to quantify the importance of agent interactions and its impact on global performance metrics for networks modeled as linear time-invariant systems. We consider Gramian-based performance metrics and propose a novel…

Systems and Control · Electrical Eng. & Systems 2021-07-22 Prasad Vilas Chanekar , Jorge Cortes

We introduce and solve a model which considers two coupled networks growing simultaneously. The dynamics of the networks is governed by the new arrival of network elements (nodes) making preferential attachments to pre-existing nodes in…

Statistical Mechanics · Physics 2007-05-23 Dafang Zheng , Guler Ergun

The lack of studying the complex organization of directed network usually limits to the understanding of underlying relationship between network structures and functions. Structural controllability and structural predictability, two…

Physics and Society · Physics 2022-03-31 Fei Jing , Chuang Liu , Jian-Liang Wu , Zi-Ke Zhang

This paper explores the economic interactions within modern crowdsourcing markets. In these markets, employers issue requests for tasks, platforms facilitate the recruitment of crowd workers, and workers complete tasks for monetary rewards.…

Computer Science and Game Theory · Computer Science 2026-02-03 Tian Bai , Yiding Feng , Yaohao Liu , Mengfan Ma , Mingyu Xiao

Improving the controllability of power networks is crucial as they are highly complex networks operating in synchrony; even minor perturbations can cause desynchronization and instability. To that end, one needs to assess the criticality of…

Systems and Control · Electrical Eng. & Systems 2025-05-16 MirSaleh Bahavarnia , Muhammad Nadeem , Ahmad F. Taha

In this paper, a new framework to study weighed networks is introduced. The idea behind this methodology is to consider that each node of the network is an agent that desires to satisfy his/her preferences in an economic sense. Moreover,…

Physics and Society · Physics 2009-11-11 Daniel O. Cajueiro
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