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Related papers: Betweenness centrality for temporal multiplexes

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Betweenness centrality is a metric that seeks to quantify a sense of the importance of a vertex in a network graph in terms of its "control" on the distribution of information along geodesic paths throughout that network. This quantity…

Networking and Internet Architecture · Computer Science 2009-08-28 Eric D. Kolaczyk , David B. Chua , Marc Barthelemy

There are several centrality measures that have been introduced and studied for real world networks. They account for the different vertex characteristics that permit them to be ranked in order of importance in the network. Betweenness…

Combinatorics · Mathematics 2014-03-20 Sunil Kumar R , Kannan Balakrishnan , M. Jathavedan

The betweenness centrality of a graph vertex measures how often this vertex is visited on shortest paths between other vertices of the graph. In the analysis of many real-world graphs or networks, betweenness centrality of a vertex is used…

Data Structures and Algorithms · Computer Science 2024-05-15 Sebastian Buß , Hendrik Molter , Rolf Niedermeier , Maciej Rymar

In static graphs, the betweenness centrality of a graph vertex measures how many times this vertex is part of a shortest path between any two graph vertices. Betweenness centrality is efficiently computable and it is a fundamental tool in…

Data Structures and Algorithms · Computer Science 2021-05-28 Maciej Rymar , Hendrik Molter , André Nichterlein , Rolf Niedermeier

One of the most fundamental problems in large scale network analysis is to determine the importance of a particular node in a network. Betweenness centrality is the most widely used metric to measure the importance of a node in a network.…

Data Structures and Algorithms · Computer Science 2008-10-19 Shiva Kintali

Structure of real networked systems, such as social relationship, can be modeled as temporal networks in which each edge appears only at the prescribed time. Understanding the structure of temporal networks requires quantifying the…

Physics and Society · Physics 2016-02-17 Taro Takaguchi , Yosuke Yano , Yuichi Yoshida

Betweenness centrality is a widely-used measure in the analysis of large complex networks. It measures the potential or power of a vertex to control the communication over the network under the assumption that information primarily flows…

Combinatorics · Mathematics 2016-03-15 Sunil Kumar R , Kannan Balakrishnan

Betweeness centrality is one of the most important concepts in graph analysis. It was recently extended to link streams, a graph generalization where links arrive over time. However, its computation raises non-trivial issues, due in…

Data Structures and Algorithms · Computer Science 2023-11-27 Frédéric Simard , Clémence Magnien , Matthieu Latapy

The betweenness centrality of a vertex v is an important centrality measure that quantifies how many optimal paths between pairs of other vertices visit v. Computing betweenness centrality in a temporal graph, in which the edge set may…

Data Structures and Algorithms · Computer Science 2023-02-23 Jessica Enright , Kitty Meeks , Hendrik Molter

Betweenness is a well-known centrality measure that ranks the nodes of a network according to their participation in shortest paths. Since an exact computation is prohibitive in large networks, several approximation algorithms have been…

Data Structures and Algorithms · Computer Science 2015-10-28 Elisabetta Bergamini , Henning Meyerhenke

The identification of nodes occupying important positions in a network structure is crucial for the understanding of the associated real-world system. Usually, betweenness centrality is used to evaluate a node capacity to connect different…

Betweenness centrality is a classic measure that quantifies the importance of a graph element (vertex or edge) according to the fraction of shortest paths passing through it. This measure is notoriously expensive to compute, and the best…

Data Structures and Algorithms · Computer Science 2015-04-29 Nicolas Kourtellis , Gianmarco De Francisci Morales , Francesco Bonchi

The Betweenness Centrality index is a very important centrality measure in the analysis of a large number of networks. Despite its significance in a lot of interdisciplinary applications, its computation is very expensive. The fastest known…

Social and Information Networks · Computer Science 2012-07-13 B Vignesh , Siddharth S , Shridhar Ramachandran , Dr. Sudarshan Iyengar , Dr. C Pandu Rangan

Betweenness centrality is essential in complex network analysis; it characterizes the importance of nodes and edges in networks. It is a crucial problem that exactly computes the betweenness centrality in large networks faster, which…

Computational Engineering, Finance, and Science · Computer Science 2023-06-22 Yelai Feng , Huaixi Wang

Betweenness is a measure of the centrality of a node in a network, and is normally calculated as the fraction of shortest paths between node pairs that pass through the node of interest. Betweenness is, in some sense, a measure of the…

Statistical Mechanics · Physics 2007-05-23 M. E. J. Newman

Betweenness centrality is a graph parameter that has been successfully applied to network analysis. In the context of computer networks, it was considered for various objectives, ranging from routing to service placement. However, as…

Social and Information Networks · Computer Science 2020-01-23 Pierluigi Crescenzi , Pierre Fraigniaud , Ami Paz

Centrality, in some sense, captures the extent to which a vertex controls the flow of information in a network. Here, we propose Local Detour Centrality as a novel centrality-based betweenness measure that captures the extent to which a…

Social and Information Networks · Computer Science 2022-08-08 Haim Cohen , Yinon Nachshon , Paz M. Naim , Jürgen Jost , Emil Saucan , Anat Maril

Betweenness centrality lies at the core of both transport and structural vulnerability properties of complex networks, however, it is computationally costly, and its measurement for networks with millions of nodes is near impossible. By…

Physics and Society · Physics 2015-05-18 Maria Ercsey-Ravasz , Zoltan Toroczkai

Centrality measures, erstwhile popular amongst the sociologists and psychologists, have seen broad and increasing applications across several disciplines of late. Amongst a plethora of application specific definitions available in the…

Social and Information Networks · Computer Science 2017-03-23 Rishi Ranjan Singh , Shubham Chaudhary , Manas Agarwal

The betweenness centrality (BC) is an important quantity for understanding the structure of complex large networks. However, its calculation is in general difficult and known in simple cases only. In particular, the BC has been exactly…

Physics and Society · Physics 2022-05-18 Vincent Verbavatz , Marc Barthelemy
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