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Many scale-free networks exhibit a rich club structure, where high degree vertices form tightly interconnected subgraphs. In this paper, we explore the emergence of rich clubs in the context of shortest path based centrality metrics. We…

Social and Information Networks · Computer Science 2018-08-10 Soumya Sarkar , Animesh Mukherjee , Sanjukta Bhowmick

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 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

In this paper, we study the crucial elements of complex networks, namely nodes, and edges and their properties such as their community structure, which play an important role in dictating the robustness of the network towards structural…

Social and Information Networks · Computer Science 2021-02-04 V. Parimi , A. Pal , S. Ruj , P. Kumaraguru , T. Chakraborty

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

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

For studying intrusion detection data we consider data points referring to individual IP addresses and their connections: We build networks associated with those data points, such that vertices in a graph are associated via the respective…

Commutative Algebra · Mathematics 2024-08-20 Mandala von Westenholz , Martin Atzmueller , Tim Römer

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…

In real networks complex topological features are often associated with a diversity of interactions as measured by the weights of the links. Moreover, spatial constraints may as well play an important role, resulting in a complex interplay…

Physics and Society · Physics 2014-11-18 Luca Dall'Asta , Alain Barrat , Marc Barthelemy , 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…

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

Data-driven analysis of complex networks has been in the focus of research for decades. An important area of research is to study how well real networks can be described with a small selection of metrics, furthermore how well network models…

Social and Information Networks · Computer Science 2022-04-28 Marcell Nagy , Roland Molontay

Cyberattacks on enterprise networks exploit complex dependencies among infrastructure, services, and applications, which challenge traditional analysis methods that focus on attack paths or network topology in isolation. In this study, we…

Cryptography and Security · Computer Science 2026-05-27 Joni Herttuainen , Vesa Kuikka , Kimmo K. Kaski

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

Central nodes are critical in establishing structural connectivity in a complex network. Attacking such nodes can create real havoc in a complex system. We propose attack strategies based on four types of centers, namely betweenness center,…

Social and Information Networks · Computer Science 2018-12-13 Divya Sindhu Lekha , Kannan Balakrishnan

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

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

Determining the key elements of interconnected infrastructure and complex systems is paramount to ensure system functionality and integrity. This work quantifies the dominance of the networks' nodes in their respective neighborhoods,…

Physics and Society · Physics 2023-11-30 Marcus Engsig , Alejandro Tejedor , Yamir Moreno , Efi Foufoula-Georgiou , Chaouki Kasmi

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

In this paper, we present a framework for studying the following fundamental question in network analysis: How should one assess the centralities of nodes in an information/influence propagation process over a social network? Our framework…

Social and Information Networks · Computer Science 2018-10-24 Wei Chen , Shang-Hua Teng , Hanrui Zhang

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
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