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This paper studies the problem of controlling complex networks, that is, the joint problem of selecting a set of control nodes and of designing a control input to steer a network to a target state. For this problem (i) we propose a metric…

Systems and Control · Computer Science 2014-03-04 Fabio Pasqualetti , Sandro Zampieri , Francesco Bullo

We propose a new measure to quantify the impact of a node $i$ in controlling a directed network. This measure, called `control contribution' $\mathcal{C}_{i}$, combines the probability for node $i$ to appear in a set of driver nodes and the…

Social and Information Networks · Computer Science 2019-06-12 Yan Zhang , Antonios Garas , Frank Schweitzer

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…

Physics and Society · Physics 2024-12-06 Albert Solé-Ribalta , Manlio De Domenico , Sergio Gómez , Alex Arenas

Complex networks topologies present interesting and surprising properties, such as community structures, which can be exploited to optimize communication, to find new efficient and context-aware routing algorithms or simply to understand…

Data Analysis, Statistics and Probability · Physics 2009-03-24 V. Nicosia , G. Mangioni , V. Carchiolo , M. Malgeri

Several approaches to cognition and intelligence research rely on statistics-based models testing, namely factor analysis. In the present work we exploit the emerging dynamical systems perspective putting the focus on the role of the…

Physics and Society · Physics 2018-03-15 Gemma Rosell-Tarragó , Emanuele Cozzo , Albert Díaz-Guilera

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,…

Molecular Networks · Quantitative Biology 2015-03-27 Allen Tannenbaum , Chris Sander , Liangjia Zhu , Romeil Sandhu , Ivan Kolesov , Eduard Reznik , Yasin Senbabaoglu , Tryphon Georgiou

We introduce a quantitative method to compare arbitrary pairs of graph centrality measures, based on the ordering of vertices induced by them. The proposed method is conceptually simple, mathematically elegant, and allows for a quantitative…

Social and Information Networks · Computer Science 2026-01-26 G. Exarchakos , R. van der Hofstad , O. Nagy , M. Pandey

Just as a herd of animals relies on its robust social structure to survive in the wild, similarly robustness is a crucial characteristic for the survival of a complex network under attack. The capacity to measure robustness in complex…

Networking and Internet Architecture · Computer Science 2008-11-27 Ali Sydney , Caterina Scoglio , Phillip Schumm , Robert Kooij

Network properties govern the rate and extent of various spreading processes, from simple contagions to complex cascades. Recently, the analysis of spreading processes has been extended from static networks to temporal networks, where nodes…

Physics and Society · Physics 2019-12-18 Eun Lee , Scott Emmons , Ryan Gibson , James Moody , Peter J. Mucha

Understanding the network structure, and finding out the influential nodes is a challenging issue in the large networks. Identifying the most influential nodes in the network can be useful in many applications like immunization of nodes in…

Social and Information Networks · Computer Science 2017-01-10 Naveen Gupta , Anurag Singh , Hocine Cherifi

Network analysis has emerged as a key technique in communication studies, economics, geography, history and sociology, among others. A fundamental issue is how to identify key nodes, for which purpose a number of centrality measures have…

Social and Information Networks · Computer Science 2018-01-08 László Csató

Centrality measures are used in network science to evaluate the centrality of vertices or the position they occupy in a network. There are a large number of centrality measures according to some criterion. However, the generalizations of…

Social and Information Networks · Computer Science 2021-06-21 Hélder Alves , Paula Brito , Pedro Campos

The understanding of how users in a network update their opinions based on their neighbours opinions has attracted a great deal of interest in the field of network science, and a growing body of literature recognises the significance of…

Social and Information Networks · Computer Science 2022-08-30 Zahra Ghorbani , Seyed Hossein Khasteh , Saeid Ghafouri

In social network markets, the act of consumer choice in these industries is governed not just by the set of incentives described by conventional consumer demand theory, but by the choices of others in which an individual's payoff is an…

Social and Information Networks · Computer Science 2012-10-08 Paul Ormerod , Bassel Tarbush , R. Alexander Bentley

Edges in a network can be divided into two kinds according to their different roles: some enhance the locality like the ones inside a cluster while others contribute to the global connectivity like the ones connecting two clusters. A recent…

Physics and Society · Physics 2015-03-17 Xue-Qi Cheng , Fu-Xin Ren , Hua-Wei Shen , Zi-Ke Zhang , Tao Zhou

In recent years, the problem of identifying the spreading ability and ranking social network users according to their influence has attracted a lot of attention; different approaches have been proposed for this purpose. Most of these…

Social and Information Networks · Computer Science 2021-11-09 Ahmad Zareie , Amir Sheikhahmadi , Rizos Sakellariou

Several recent studies of complex networks have suggested algorithms for locating network communities, also called modules or clusters, which are mostly defined as groups of nodes with dense internal connections. Along with the rapid…

Physics and Society · Physics 2008-09-04 Peter Pollner , Gergely Palla , Daniel Abel , Andras Vicsek , Illes J. Farkas , Imre Derenyi , Tamas Vicsek

We study, possibly distributed, robust weight control policies for DC power networks that change link susceptances, or weights in response to balanced disturbances to the supply-demand vector. The margin of robustness for a given control…

Optimization and Control · Mathematics 2016-10-19 Qin Ba , Ketan Savla

Three measures of clumpiness of complex networks are introduced. The measures quantify how most central nodes of a network are clumped together. The assortativity coefficient defined in a previous study measures a similar characteristic,…

Physics and Society · Physics 2009-05-27 Ernesto Estrada , Naomichi Hatano , Amauri Gutierrez

Biological networks have two modes. The first mode is static: a network is a passage on which something flows. The second mode is dynamic: a network is a pattern constructed by gluing functions of entities constituting the network. In this…

Category Theory · Mathematics 2012-11-22 Taichi Haruna