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Bonacich centrality measures the number of attenuated paths between nodes in a network. We use this metric to study network structure, specifically, to rank nodes and find community structure of the network. To this end we extend the…

Physics and Society · Physics 2009-11-06 Kristina Lerman , Rumi Ghosh

Complex networks are characterized by heterogeneous distributions of the degree of nodes, which produce a large diversification of the roles of the nodes within the network. Several centrality measures have been introduced to rank nodes…

Physics and Society · Physics 2009-11-13 Nicola Perra , Santo Fortunato

We describe a novel protocol for computing the egocentric betweenness centrality of a node when relevant edge information is spread between two mutually distrusting parties such as two telecommunications providers. While each node belongs…

Cryptography and Security · Computer Science 2019-01-27 Leyla Roohi , Benjamin I. P. Rubinstein , Vanessa Teague

Real networks exhibit heterogeneous nature with nodes playing far different roles in structure and function. To identify vital nodes is thus very significant, allowing us to control the outbreak of epidemics, to conduct advertisements for…

Physics and Society · Physics 2016-09-21 Linyuan Lü , Duanbing Chen , Xiao-Long Ren , Qian-Ming Zhang , Yi-Cheng Zhang , Tao Zhou

Network metrics form a fundamental part of the network analysis toolbox. Used to quantitatively measure different aspects of the network, these metrics can give insights into the underlying network structure and function. In this work, we…

Machine Learning · Statistics 2015-06-04 Harold Soh

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

Social and Information Networks · Computer Science 2017-06-28 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

The topological structure of complex networks has fascinated researchers for several decades, resulting in the discovery of many universal properties and reoccurring characteristics of different kinds of networks. However, much less is…

Social and Information Networks · Computer Science 2017-03-02 Yvonne Anne Pignolet , Matthieu Roy , Stefan Schmid , Gilles Tredan

Complex networks or graphs provide a powerful framework to understand importance of individuals and their interactions in real-world complex systems. Several graph theoretical measures have been introduced to access importance of the…

Physics and Society · Physics 2020-04-08 Priodyuti Pradhan , Angeliya C. U. , Sarika Jalan

Identifying important nodes for disease spreading is a central topic in network epidemiology. We investigate how well the position of a node, characterized by standard network measures, can predict its epidemiological importance in any…

Populations and Evolution · Quantitative Biology 2020-07-28 Doina Bucur , Petter Holme

Most network studies rely on an observed network that differs from the underlying network which is obfuscated by measurement errors. It is well known that such errors can have a severe impact on the reliability of network metrics,…

Social and Information Networks · Computer Science 2020-01-09 Christoph Martin , Peter Niemeyer

In many studies, it is common to use binary (i.e., unweighted) edges to examine networks of entities that are either adjacent or not adjacent. Researchers have generalized such binary networks to incorporate edge weights, which allow one to…

Physics and Society · Physics 2024-02-29 Lucas Böttcher , Mason A. Porter

Centrality metrics play a crucial role in network analysis, while the choice of specific measures significantly influences the accuracy of conclusions as each measure represents a unique concept of node importance. Among over 400 proposed…

Physics and Society · Physics 2025-06-06 Pavel Chebotarev , Dmitry Gubanov

Many systems, ranging from biological and engineering systems to social systems, can be modeled as directed networks, with links representing directed interaction between two nodes. To assess the importance of a node in a directed network,…

Physics and Society · Physics 2009-11-06 Naoki Masuda , Yoji Kawamura , Hiroshi Kori

Heterogeneous networks play a key role in the evolution of communities and the decisions individuals make. These networks link different types of entities, for example, people and the events they attend. Network analysis algorithms usually…

Computers and Society · Computer Science 2016-11-17 Rumi Ghosh , Kristina Lerman

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…

Physics and Society · Physics 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

Many real networks in social sciences, biological and biomedical sciences or computer science have an inherent structure of simplicial complexes reflecting many-body interactions. Therefore, to analyse topological and dynamical properties…

Algebraic Topology · Mathematics 2020-04-16 Daniel Hernández Serrano , Darío Sánchez Gómez

To measure node importance, network scientists employ centrality scores that typically take a microscopic or macroscopic perspective, relying on node features or global network structure. However, traditional centrality measures such as…

Social and Information Networks · Computer Science 2022-08-18 Christopher Blöcker , Juan Carlos Nieves , Martin Rosvall

A majority of real life networks are weighted and sparse. The present article aims at characterization of weighted networks based on sparsity, as a measure of inherent diversity, of different network parameters. It utilizes sparsity index…

Discrete Mathematics · Computer Science 2021-01-12 Swati Goswami , Asit K. Das , Subhas C. Nandy

We investigate the problem of enforcing a desired centrality measure in complex networks, while still keeping the original pattern of the network. Specifically, by representing the network as a graph with suitable nodes and weighted edges,…

Physics and Society · Physics 2025-03-13 Stefano Cipolla , Fabio Durastante , Beatrice Meini

Hypergraphs that can depict interactions beyond pairwise edges have emerged as an appropriate representation for modeling polyadic relations in complex systems. With the recent surge of interest in researching hypergraphs, the centrality…

Physics and Society · Physics 2022-08-10 Xiao-Wen Xie , Xiu-Xiu Zhan , Zi-Ke Zhang , Chuang Liu
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