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We study the emergence of coherence in complex networks of mutually coupled non-identical elements. We uncover the precise dependence of the dynamical coherence on the network connectivity, on the isolated dynamics of the elements and the…

适应与自组织系统 · 物理学 2013-08-09 Tiago Pereira , Deniz Eroglu , G. B. Bagci , U. Tirnakli , Henrik J. Jensen

Disorder and noise in physical systems often disrupt spatial and temporal regularity, yet chaotic systems reveal how order can emerge from unpredictable behavior. Complex networks, spatial analogs of chaos, exhibit disordered, non-Euclidean…

统计力学 · 物理学 2025-04-17 Pablo Villegas

We describe the emergence of strong spatial correlations, akin to liquid-like behavior and crystallization effects, in low (one and two) dimensional gases of cold Rydberg atoms. The presence of an external electric field permanently…

Real-world networks have high-order relationships among objects and they evolve over time. To capture such dynamics, many works have been studied in a range of fields. Via an in-depth preliminary analysis, we observe two important…

社会与信息网络 · 计算机科学 2025-08-26 Yunyong Ko , Da Eun Lee , Song Kyung Yu , Sang-Wook Kim

Hierarchy and centrality are two popular notions used to characterize the importance of entities in complex systems. Indeed, many complex systems exhibit a natural hierarchical structure, and centrality is a fundamental characteristic…

社会与信息网络 · 计算机科学 2021-03-03 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

Network topologies can be non-trivial, due to the complex underlying behaviors that form them. While past research has shown that some processes on networks may be characterized by low-order statistics describing nodes and their neighbors,…

物理与社会 · 物理学 2019-10-22 Xin-Zeng Wu , Allon G. Percus , Keith Burghardt , Kristina Lerman

Nodes in a complex networked system often engage in more than one type of interactions among them; they form a multiplex network with multiple types of links. In real-world complex systems, a node's degree for one type of links and that for…

物理与社会 · 物理学 2012-03-29 Kyu-Min Lee , Jung Yeol Kim , Won-kuk Cho , K. -I. Goh , I. -M. Kim

Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

物理与社会 · 物理学 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

The ability to control a complex network towards a desired behavior relies on our understanding of the complex nature of these social and technological networks. The existence of numerous control schemes in a network promotes us to wonder:…

系统与控制 · 计算机科学 2016-12-01 Xizhe Zhang , Tianyang Lv , Yuanyuan Pu

The complexity of many biological, social and technological systems stems from the richness of the interactions among their units. Over the past decades, a great variety of complex systems has been successfully described as networks whose…

Nodes in real-world networks are usually organized in local modules. These groups, called communities, are intuitively defined as sub-graphs with a larger density of internal connections than of external links. In this work, we introduce a…

物理与社会 · 物理学 2010-04-21 Andrea Lancichinetti , Filippo Radicchi , Jose J. Ramasco

Networks describe a range of social, biological and technical phenomena. An important property of a network is its degree correlation or assortativity, describing how nodes in the network associate based on their number of connections.…

社会与信息网络 · 计算机科学 2017-02-06 David N Fisher , Matthew J Silk , Daniel W Franks

Clustering is the propensity of nodes that share a common neighbour to be connected. It is ubiquitous in many networks but poses many modelling challenges. Clustering typically manifests itself by a higher than expected frequency of…

动力系统 · 数学 2016-01-07 Martin Ritchie , Luc Berthouze , Istvan Z. Kiss

The rate at which nodes in a network increase their connectivity depends on their fitness to compete for links. For example, in social networks some individuals acquire more social links than others, or on the www some webpages attract…

无序系统与神经网络 · 物理学 2007-05-23 G. Bianconi A. -L. Barabási

Clustering, assortativity, and communities are key features of complex networks. We probe dependencies between these attributes and find that ensembles with strong clustering display both high assortativity by degree and prominent community…

物理与社会 · 物理学 2013-05-29 David V. Foster , Jacob G. Foster , Peter Grassberger , Maya Paczuski

Assortative mixing in networks is the tendency for nodes with the same attributes, or metadata, to link to each other. It is a property often found in social networks manifesting as a higher tendency of links occurring between people with…

社会与信息网络 · 计算机科学 2018-04-19 Leto Peel , Jean-Charles Delvenne , Renaud Lambiotte

The friendship paradox is the observation that the degrees of the neighbors of a node in any network will, on average, be greater than the degree of the node itself. In common parlance, your friends have more friends than you do. In this…

社会与信息网络 · 计算机科学 2021-10-26 George T. Cantwell , Alec Kirkley , M. E. J. Newman

Community detection and hierarchy extraction are usually thought of as separate inference tasks on networks. Considering only one of the two when studying real-world data can be an oversimplification. In this work, we present a generative…

社会与信息网络 · 计算机科学 2022-06-03 Laura Iacovissi , Caterina De Bacco

We study how to detect groups in a complex network each of which consists of component nodes sharing a similar connection pattern. Based on the mixture models and the exploratory analysis set up by Newman and Leicht (Newman and Leicht 2007…

数据分析、统计与概率 · 物理学 2008-12-17 J. Wang , C. -H. Lai

We consider robustness and percolation properties of the networks of networks, in which random nodes in different individual networks (layers) can be interdependent. We explore the emergence of the giant mutually connected component,…

无序系统与神经网络 · 物理学 2014-11-18 Ginestra Bianconi , Sergey N. Dorogovtsev