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Betweenness Centrality (BC) is steadily growing in popularity as a metrics of the influence of a vertex in a graph. The BC score of a vertex is proportional to the number of all-pairs-shortest-paths passing through it. However, complete and…

分布式、并行与集群计算 · 计算机科学 2022-02-22 Flavio Vella , Giancarlo Carbone , Massimo Bernaschi

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 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 2015-07-06 Elisabetta Bergamini , Henning Meyerhenke

Graphs (networks) are an important tool to model data in different domains. Real-world graphs are usually directed, where the edges have a direction and they are not symmetric. Betweenness centrality is an important index widely used to…

数据结构与算法 · 计算机科学 2023-06-22 Mostafa Haghir Chehreghani , Albert Bifet , Talel Abdessalem

Betweenness is a well-known centrality measure that ranks the nodes according to their participation in the shortest paths of a network. In several scenarios, having a high betweenness can have a positive impact on the node itself. Hence,…

The problem of computing the Betweenness Centrality (BC) is important in analyzing graphs in many practical applications like social networks, biological networks, transportation networks, electrical circuits, etc. Since this problem is…

社会与信息网络 · 计算机科学 2014-09-30 Saad Quader

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

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…

数据结构与算法 · 计算机科学 2017-02-23 Nicolas Kourtellis , Tharaka Alahakoon , Ramanuja Simha , Adriana Iamnitchi , Rahul Tripathi

Bu{\ss} et al [KDD 2020] recently proved that the problem of computing the betweenness of all nodes of a temporal graph is computationally hard in the case of foremost and fastest paths, while it is solvable in time O(n 3 T 2 ) in the case…

数据结构与算法 · 计算机科学 2025-01-23 Filippo Brunelli , Pierluigi Crescenzi , Laurent Viennot

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

Who is more important in a network? Who controls the flow between the nodes or whose contribution is significant for connections? Centrality metrics play an important role while answering these questions. The betweenness metric is useful…

数据结构与算法 · 计算机科学 2012-09-27 Ahmet Erdem Sarıyüce , Erik Saule , Kamer Kaya , Ümit V. Çatalyürek

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 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…

组合数学 · 数学 2016-03-15 Sunil Kumar R , Kannan Balakrishnan

Betweenness centrality is one of the most popular vertex centrality measures in network analysis. Hence, many (sequential and parallel) algorithms to compute or approximate betweenness have been devised. Recent algorithmic advances have…

分布式、并行与集群计算 · 计算机科学 2019-10-25 Alexander van der Grinten , Henning Meyerhenke

In network analysis, the betweenness centrality of a node informally captures the fraction of shortest paths visiting that node. The computation of the betweenness centrality measure is a fundamental task in the analysis of modern networks,…

社会与信息网络 · 计算机科学 2022-03-02 Diego Santoro , Ilie Sarpe

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…

数据结构与算法 · 计算机科学 2017-05-05 Mostafa Haghir Chehreghani , Talel Abdessalem , and Albert Bifet

Triangle centrality is introduced for finding important vertices in a graph based on the concentration of triangles surrounding each vertex. It has the distinct feature of allowing a vertex to be central if it is in many triangles or none…

数据结构与算法 · 计算机科学 2024-10-16 Paul Burkhardt

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…

数据结构与算法 · 计算机科学 2025-12-19 Johnson Phosavanh , Dmytro Matsypura

Betweenness centrality is a fundamental centrality measure in social network analysis. Given a large-scale network, how can we find the most central nodes? This question is of key importance to numerous important applications that rely on…

社会与信息网络 · 计算机科学 2016-09-06 Ahmad Mahmoody , Charalampos E. Tsourakakis , Eli Upfal

In this comment, we investigate a common used algorithm proposed by Newman [M. E. J. Newman, Phys. Rev. E {\bf 64}, 016132(2001)] to calculate the betweenness centrality for all vertices. The inaccurateness of Newman's algorithm is pointed…

物理与社会 · 物理学 2009-11-11 Tao Zhou , Jian-Guo Liu , Bing-Hong Wang