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Related papers: The Temporal Rich Club Phenomenon

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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

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

The temporal rich club (TRC) phenomenon is widespread in real systems, forming a tight and continuous collection of the prominent nodes that control the system. However, there is still a lack of sufficient understanding of the mechanisms of…

Physics and Society · Physics 2024-08-07 Mu-Yao Li , Ying-Ting Zhang , Wei-Xing Zhou

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

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

Stream graphs are a very useful mode of representation for temporal network data, whose richness offers a wide range of possible approaches. The various methods aimed at generalising the classical approaches applied to static networks are…

Social and Information Networks · Computer Science 2021-04-14 Mehdi Djellabi , Bertrand Jouve

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

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

Temporal networks model how the interaction between elements in a complex system evolve over time. Just like complex systems display collective dynamics, here we interpret temporal networks as trajectories performing a collective motion in…

Social and Information Networks · Computer Science 2022-10-18 Lucas Lacasa , Jorge P. Rodriguez , Victor M. Eguiluz

In complex networks, the rich-get-richer effect (nodes with high degree at one point in time gain more degree in their future) is commonly observed. In practice this is often studied on a static network snapshot, for example, a preferential…

Social and Information Networks · Computer Science 2025-02-05 Matthew Russell Barnes , Vincenzo Nicosia , Richard G. Clegg

The study of temporal networks is motivated by the simple and important observation that just as network structure can affect dynamics, so can structure in time. Just as network topology can teach us about the system in question, so can its…

Physics and Society · Physics 2021-03-26 Petter Holme , Jari Saramäki

With the growing amount of available temporal real-world network data, an important question is how to efficiently study these data. One can simply model a temporal network as either a single aggregate static network, or as a series of…

Social and Information Networks · Computer Science 2014-12-15 Yuriy Hulovatyy , Huili Chen , Tijana Milenkovic

In this paper, we consider the problem of exploring structural regularities of networks by dividing the nodes of a network into groups such that the members of each group have similar patterns of connections to other groups. Specifically,…

Physics and Society · Physics 2015-05-30 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

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

We present a principled approach for detecting overlapping temporal community structure in dynamic networks. Our method is based on the following framework: find the overlapping temporal community structure that maximizes a quality function…

Social and Information Networks · Computer Science 2013-03-29 Yudong Chen , Vikas Kawadia , Rahul Urgaonkar

Temporal networks come with a wide variety of heterogeneities, from burstiness of event sequences to correlations between timings of node and link activations. In this paper, we set to explore the latter by using greedy walks as probes of…

Physics and Society · Physics 2016-01-20 Jari Saramaki , Petter Holme

Detecting community structure in social networks is a fundamental problem empowering us to identify groups of actors with similar interests. There have been extensive works focusing on finding communities in static networks, however, in…

Social and Information Networks · Computer Science 2018-02-26 Saeed Haji Seyed Javadi , Pedram Gharani , Shahram Khadivi

Recently, evolving networks are becoming a suitable form to model many real-world complex systems, due to their peculiarities to represent the systems and their constituting entities, the interactions between the entities and the…

Artificial Intelligence · Computer Science 2017-09-21 Angelo Impedovo , Corrado Loglisci , Michelangelo Ceci

A great variety of systems in nature, society and technology -- from the web of sexual contacts to the Internet, from the nervous system to power grids -- can be modeled as graphs of vertices coupled by edges. The network structure,…

Adaptation and Self-Organizing Systems · Physics 2012-10-10 Petter Holme , Jari Saramäki

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…

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