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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…

组合数学 · 数学 2014-03-20 Sunil Kumar R , Kannan Balakrishnan , M. Jathavedan

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…

网络与互联网体系结构 · 计算机科学 2009-08-28 Eric D. Kolaczyk , David B. Chua , Marc Barthelemy

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…

物理与社会 · 物理学 2022-05-18 Vincent Verbavatz , Marc Barthelemy

Betweenness centrality is a centrality measure based on the overall amount of shortest paths passing through a given vertex. A graph is betweenness-uniform if all its vertices have the same betweenness centrality. We study the properties of…

组合数学 · 数学 2023-09-11 David Hartman , Aneta Pokorná , Pavel Valtr

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…

数据结构与算法 · 计算机科学 2023-11-27 Frédéric Simard , Clémence Magnien , Matthieu Latapy

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…

社会与信息网络 · 计算机科学 2020-01-23 Pierluigi Crescenzi , Pierre Fraigniaud , Ami Paz

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…

统计力学 · 物理学 2007-05-23 M. E. J. Newman

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…

数据结构与算法 · 计算机科学 2024-05-15 Sebastian Buß , Hendrik Molter , Rolf Niedermeier , Maciej Rymar

Betweenness centrality quantifies the importance of a vertex for the information flow in a network. We propose a flexible definition of betweenness for temporal multiplexes, where geodesics are determined accounting for the topological and…

物理与社会 · 物理学 2020-02-04 Silvia Zaoli , Piero Mazzarisi , Fabrizio Lillo

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.…

数据结构与算法 · 计算机科学 2008-10-19 Shiva Kintali

Betweenness centrality (BC) was proposed as an indicator of the extent of an individual's influence in a social network. It is measured by counting how many times a vertex (i.e., an individual) appears on all the shortest paths between…

物理与社会 · 物理学 2021-06-23 Jongshin Lee , Yongsun Lee , Soo Min Oh , B. Kahng

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…

数据结构与算法 · 计算机科学 2015-04-29 Nicolas Kourtellis , Gianmarco De Francisci Morales , Francesco Bonchi

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…

数据结构与算法 · 计算机科学 2015-10-28 Elisabetta Bergamini , Henning Meyerhenke

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…

数据结构与算法 · 计算机科学 2021-05-28 Maciej Rymar , Hendrik Molter , André Nichterlein , Rolf Niedermeier

Betweenness centrality measure assesses the importance of nodes in a graph and has been used in a variety of contexts. Betweenness centrality has also been extended to temporal graphs. Temporal graphs have edges that bear labels according…

数据结构与算法 · 计算机科学 2023-06-07 Mehdi Naima , Matthieu Latapy , Clémence Magnien

Betweenness centrality---measuring how many shortest paths pass through a vertex---is one of the most important network analysis concepts for assessing the relative importance of a vertex. The well-known algorithm of Brandes [J. Math.…

数据结构与算法 · 计算机科学 2020-05-14 Matthias Bentert , Alexander Dittmann , Leon Kellerhals , André Nichterlein , Rolf Niedermeier

A central task in network analysis is to identify important nodes in a graph. Betweenness centrality (BC) is a popular centrality measure that captures the significance of nodes based on the number of shortest paths each node intersects…

社会与信息网络 · 计算机科学 2024-08-05 Charalampos E. Tsourakakis

Betweenness centrality is a measure of the importance of a vertex x inside a network based on the fraction of shortest paths passing through x. We study a blow-up construction that has been shown to produce graphs with uniform distribution…

组合数学 · 数学 2021-05-17 David Hartman , Aneta Pokorná

Betweenness centrality (BC) is one of the most used centrality measures for network analysis, which seeks to describe the importance of nodes in a network in terms of the fraction of shortest paths that pass through them. It is key to many…

社会与信息网络 · 计算机科学 2019-08-30 Changjun Fan , Li Zeng , Yuhui Ding , Muhao Chen , Yizhou Sun , Zhong Liu

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…

物理与社会 · 物理学 2015-05-18 Maria Ercsey-Ravasz , Zoltan Toroczkai
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