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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…

数据分析、统计与概率 · 物理学 2015-06-26 Vittoria Colizza , Alessandro Flammini , M. Angeles Serrano , Alessandro Vespignani

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…

物理与社会 · 物理学 2015-05-20 Xiao-Ke Xu , Jie Zhang , Michael Small

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…

社会与信息网络 · 计算机科学 2019-04-12 Matteo Cinelli , Giovanna Ferraro , Antonio Iovanella

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…

无序系统与神经网络 · 物理学 2009-11-13 M. Angeles Serrano

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…

物理与社会 · 物理学 2014-12-03 Jeff Alstott , Pietro Panzarasa , Mikail Rubinov , Ed Bullmore , Petra Vertes

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…

物理与社会 · 物理学 2009-11-13 Julian J. McAuley , Luciano da Fontoura Costa , Tiberio S. Caetano

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…

物理与社会 · 物理学 2017-12-05 Máté Csigi , Attila Kőrösi , József Bíró , Zalán Heszberger , Yury Malkov , András Gulyás

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…

物理与社会 · 物理学 2015-05-28 Xiao-ke xu , Jie Zhang , Ping Li , Michael Small

Hubs, or vertices with large degrees, play massive roles in, for example, epidemic dynamics, innovation diffusion, and synchronization on networks. However, costs of owning edges can motivate agents to decrease their degrees and avoid…

无序系统与神经网络 · 物理学 2007-05-23 Naoki Masuda , Norio Konno

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…

物理与社会 · 物理学 2022-08-17 Nicola Pedreschi , Demian Battaglia , Alain Barrat

Modern scientific work, including writing papers and submitting research grant proposals, increasingly involves researchers from different institutions. In grant collaborations, it is known that institutions involved in many collaborations…

物理与社会 · 物理学 2023-05-23 Kazuki Nakajima , Kazuyuki Shudo , Naoki Masuda

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…

物理与社会 · 物理学 2017-04-13 Alessandro Muscoloni , Carlo Vittorio Cannistraci

Rich-club ordering refers to the tendency of nodes with a high degree to be more interconnected than expected. In this paper we consider the concept of rich-club ordering when generalized to structural measures that differ from the node…

物理与社会 · 物理学 2019-02-21 Matteo Cinelli

The presence of hierarchy in many real-world networks is not yet fully explained. Complex interaction networks are often coarse-grain models of vast modular networks, where tightly connected subgraphs are agglomerated into nodes for…

物理与社会 · 物理学 2021-02-24 C. Tyler Diggans , Jeremie Fish , Erik Bollt

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…

物理与社会 · 物理学 2015-08-19 Athen Ma , Raul J Mondragon

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…

社会与信息网络 · 计算机科学 2025-01-13 Jacob Kruse , Song Gao , Yuhan Ji , Keith Levin , Qunying Huang , Kenneth R. Mayer

Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

统计力学 · 物理学 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

Social status, defined as the relative rank or position that an individual holds in a social hierarchy, is known to be among the most important motivating forces in social behaviors. In this paper, we consider the notion of status from the…

社会与信息网络 · 计算机科学 2015-04-15 Yuxiao Dong , Jie Tang , Nitesh Chawla , Tiancheng Lou , Yang Yang , Bai Wang

We present a methodology to extract the backbone of complex networks based on the weight and direction of links, as well as on nontopological properties of nodes. We show how the methodology can be applied in general to networks in which…

综合金融 · 定量金融 2010-06-23 J. B. Glattfelder , S. Battiston

Topology and weights are closely related in weighted complex networks and this is reflected in their modular structure. We present a simple network model where the weights are generated dynamically and they shape the developing topology. By…

物理与社会 · 物理学 2008-01-30 J. M. Kumpula , J. -P. Onnela , J. Saramaki , K. Kaski , J. Kertesz
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