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Related papers: On Rich Clubs of Path-Based Centralities in Networ…

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Core-periphery networks are structures that present a set of central and densely connected nodes, namely the core, and a set of non-central and sparsely connected nodes, namely the periphery. The rich-club refers to a set in which the…

Social and Information Networks · Computer Science 2017-08-25 Matteo Cinelli , Giovanna Ferraro , Antonio Iovanella

Many mobile networks are represented as graphs to obtain insight to their connectivity and transmission properties. Among these properties centrality resilience, that is, how well centralities, such as closeness and betweennesss, are…

Social and Information Networks · Computer Science 2024-07-10 Fariba Afrin Irany , Soumya Sarakar , Animesh Mukherjee , Sanjukta Bhowmick

The rich-club phenomenon, which provides information about the association between nodes, is a useful method to study the hierarchy structure of networks. In this work, we explore the behavior of rich-club coefficient (RCC) in scale-free…

Physics and Society · Physics 2024-12-03 Zhihang Liu , Wei Li , Yuxiang Yang

The rich club organization (the presence of highly connected hub core in a network) influences many structural and functional characteristics of networks including topology, the efficiency of paths and distribution of load. Despite its…

Physics and Society · Physics 2017-12-05 Máté Csigi , Attila Kőrösi , József Bíró , Zalán Heszberger , Yury Malkov , András Gulyás

A core is said to be a group of central and densely connected nodes which governs the overall behavior of a network. Profiling this meso--scale structure currently relies on a limited number of methods which are often complex, and have…

Physics and Society · Physics 2015-08-19 Athen Ma , Raul J Mondragon

Uncovering the hidden regularities and organizational principles of networks arising in physical systems ranging from the molecular level to the scale of large communication infrastructures is the key issue for the understanding of their…

Data Analysis, Statistics and Probability · Physics 2015-06-26 Vittoria Colizza , Alessandro Flammini , M. Angeles Serrano , Alessandro Vespignani

Traditionally, there is no evidence suggesting that there are strong ties between the rich-club property and the function of complex networks. In this study, we find that whether a very small portion of rich nodes connected to each other or…

Physics and Society · Physics 2015-05-28 Xiao-ke xu , Jie Zhang , Ping Li , Michael Small

Network analysis can help uncover meaningful regularities in the organization of complex systems. Among these, rich clubs are a functionally important property of a variety of social, technological and biological networks. Rich clubs emerge…

Physics and Society · Physics 2014-12-03 Jeff Alstott , Pietro Panzarasa , Mikail Rubinov , Ed Bullmore , Petra Vertes

Large scale hierarchies characterize complex networks in different domains. Elements at their top, usually the most central or influential, may show multipolarization or tend to club forming tightly interconnected communities. The rich-club…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Angeles Serrano

The so-called rich-club phenomenon in a complex network is characterized when nodes of higher degree (hubs) are better connected among themselves than are nodes with smaller degree. The presence of the rich-club phenomenon may be an…

Physics and Society · Physics 2009-11-13 Julian J. McAuley , Luciano da Fontoura Costa , Tiberio S. Caetano

The rich-club concept has been introduced in order to characterize the presence of a cohort of nodes with a large number of links (rich nodes) that tend to be well connected between each other, creating a tight group (club). Rich-clubness…

Physics and Society · Physics 2017-04-13 Alessandro Muscoloni , Carlo Vittorio Cannistraci

Spatial networks are widely used in various fields to represent and analyze interactions or relationships between locations or spatially distributed entities.There is a network science concept known as the 'rich club' phenomenon, which…

Social and Information Networks · Computer Science 2025-01-13 Jacob Kruse , Song Gao , Yuhan Ji , Keith Levin , Qunying Huang , Kenneth R. Mayer

Identifying the hidden organizational principles and relevant structures of networks representing complex physical systems is fundamental to understand their properties. To this aim, uncovering the structures involving a network's prominent…

Physics and Society · Physics 2022-08-17 Nicola Pedreschi , Demian Battaglia , Alain Barrat

For many complex networks present in nature only a single instance, usually of large size, is available. Any measurement made on this single instance cannot be repeated on different realizations. In order to detect significant patterns in a…

Rich-club ordering and the dyadic effect are two phenomena observed in complex networks that are based on the presence of certain substructures composed of specific nodes. Rich-club ordering represents the tendency of highly connected and…

Social and Information Networks · Computer Science 2019-04-12 Matteo Cinelli , Giovanna Ferraro , Antonio Iovanella

A complex system can be represented and analyzed as a network, where nodes represent the units of the network and edges represent connections between those units. For example, a brain network represents neurons as nodes and axons between…

Neurons and Cognition · Quantitative Biology 2017-11-03 M. A. Bertolero , B. T. T. Yeo , M. D'Esposito

In complex networks the rich nodes are the subset of nodes with high degree. These well connected nodes tend to dominate the organisation of the network's structure. In non-evolving networks, a reference network has been used to detect if…

Physics and Society · Physics 2008-12-16 R. J. Mondragon , S. Zhou

Rich-club, assortativity and clustering coefficients are frequently-used measures to estimate topological properties of complex networks. Here we find that the connectivity among a very small portion of the richest nodes can dominate the…

Physics and Society · Physics 2015-05-20 Xiao-Ke Xu , Jie Zhang , Michael Small

Many of the structural characteristics of a network depend on the connectivity with and within the hubs. These dependencies can be related to the degree of a node and the number of links that a node shares with nodes of higher degree. In…

Physics and Society · Physics 2018-10-31 Raul J Mondragon

Core-periphery structure is a common property of complex networks, which is a composition of tightly connected groups of core vertices and sparsely connected periphery vertices. This structure frequently emerges in traffic systems, biology,…

Social and Information Networks · Computer Science 2019-05-28 Junteng Jia , Austin R. Benson
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