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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

The centrality of a vertex v in a network intuitively captures how important v is for communication in the network. The task of improving the centrality of a vertex has many applications, as a higher centrality often implies a larger impact…

Discrete Mathematics · Computer Science 2017-10-05 Clemens Hoffmann , Hendrik Molter , Manuel Sorge

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

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

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…

Social and Information Networks · Computer Science 2019-08-30 Changjun Fan , Li Zeng , Yuhui Ding , Muhao Chen , Yizhou Sun , Zhong Liu

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

The degree centrality of a node, defined as the number of nodes adjacent to it, is often used as a measure of importance of a node to the structure of a network. This metric can be extended to paths in a network, where the degree centrality…

Data Structures and Algorithms · Computer Science 2025-12-19 Johnson Phosavanh , Dmytro Matsypura

Robustness estimation is critical for the design and maintenance of resilient networks, one of the global challenges of the 21st century. Existing studies exploit network metrics to generate attack strategies, which simulate intentional…

Social and Information Networks · Computer Science 2016-08-16 Sebastian Wandelt , Xiaoqian Sun

We propose a betweenness centrality measure and algorithms for stochastic networks, where edges can fail and weights vary across realizations, making the most central node random. Our approach models the sequence of reported central nodes…

Social and Information Networks · Computer Science 2026-05-19 Wencheng Bao , Eleftheria Kontou , Chrysafis Vogiatzis

The problem of efficiently computing the betweenness centrality of nodes has been researched extensively. To date, the best known exact and centralized algorithm for this task is an algorithm proposed in 2001 by Brandes. The contribution of…

Data Structures and Algorithms · Computer Science 2015-06-05 Dora Erdos , Vatche Ishakian , Azer Bestavros , Evimaria Terzi

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 Maximum Betweenness Centrality problem (MBC) can be defined as follows. Given a graph find a $k$-element node set $C$ that maximizes the probability of detecting communication between a pair of nodes $s$ and $t$ chosen uniformly at…

Data Structures and Algorithms · Computer Science 2010-08-23 Martin Fink , Joachim Spoerhase

This paper proposes an alternative way to identify nodes with high betweenness centrality. It introduces a new metric, k-path centrality, and a randomized algorithm for estimating it, and shows empirically that nodes with high k-path…

Data Structures and Algorithms · Computer Science 2017-02-23 Nicolas Kourtellis , Tharaka Alahakoon , Ramanuja Simha , Adriana Iamnitchi , Rahul Tripathi

Betweenness centrality is an important index widely used in different domains such as social networks, traffic networks and the world wide web. However, even for mid-size networks that have only a few hundreds thousands vertices, it is…

Data Structures and Algorithms · Computer Science 2017-05-05 Mostafa Haghir Chehreghani , Talel Abdessalem , and Albert Bifet

Network centrality plays an important role in many applications. Central nodes in social networks can be influential, driving opinions and spreading news or rumors.In hyperlinked environments, such as the Web, where users navigate via…

Social and Information Networks · Computer Science 2017-10-11 Sourav Medya , Arlei Silva , Ambuj Singh , Prithwish Basu , Ananthram Swami

The problem of increasing the centrality of a network node arises in many practical applications. In this paper, we study the optimization problem of maximizing the information centrality $I_v$ of a given node $v$ in a network with $n$…

Social and Information Networks · Computer Science 2018-04-19 Liren Shan , Yuhao Yi , Zhongzhi Zhang

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

Centrality metrics are among the main tools in social network analysis. Being central for a user of a network leads to several benefits to the user: central users are highly influential and play key roles within the network. Therefore, the…

Data Structures and Algorithms · Computer Science 2018-11-13 Gianlorenzo D'Angelo , Martin Olsen , Lorenzo Severini

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…

Social and Information Networks · Computer Science 2024-08-05 Charalampos E. Tsourakakis