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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,…

Social and Information Networks · Computer Science 2022-03-02 Diego Santoro , Ilie Sarpe

We present ABRA, a suite of algorithms that compute and maintain probabilistically-guaranteed, high-quality, approximations of the betweenness centrality of all nodes (or edges) on both static and fully dynamic graphs. Our algorithms rely…

Data Structures and Algorithms · Computer Science 2016-02-19 Matteo Riondato , Eli Upfal

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…

Data Structures and Algorithms · Computer Science 2025-01-23 Filippo Brunelli , Pierluigi Crescenzi , Laurent Viennot

We present KADABRA, a new algorithm to approximate betweenness centrality in directed and undirected graphs, which significantly outperforms all previous approaches on real-world complex networks. The efficiency of the new algorithm relies…

Data Structures and Algorithms · Computer Science 2016-08-15 Michele Borassi , Emanuele Natale

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…

Data Structures and Algorithms · Computer Science 2023-06-07 Mehdi Naima , Matthieu Latapy , Clémence Magnien

Betweenness centrality has been extensively studied since its introduction in 1977 as a measure of node importance in graphs. This measure has found use in various applications and has been extended to temporal graphs with time-labeled…

Data Structures and Algorithms · Computer Science 2024-02-13 Mehdi Naima

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

We propose the Temporal Walk Centrality, which quantifies the importance of a node by measuring its ability to obtain and distribute information in a temporal network. In contrast to the widely-used betweenness centrality, we assume that…

Social and Information Networks · Computer Science 2022-02-09 Lutz Oettershagen , Petra Mutzel , Nils M. Kriege

Node centralities play a pivotal role in network science, social network analysis, and recommender systems. In temporal data, static path-based centralities like closeness or betweenness can give misleading results about the true importance…

Machine Learning · Computer Science 2024-11-11 Franziska Heeg , Ingo Scholtes

A reliable long-term time-series forecaster is highly demanded in practice but comes across many challenges such as low computational and memory footprints as well as robustness against dynamic learning environments. This paper proposes…

Betweenness Centrality (BC) is an important measure used widely in complex network analysis, such as social network, web page search, etc. Computing the exact BC values is highly time consuming. Currently the fastest exact BC determining…

Social and Information Networks · Computer Science 2017-12-21 Shiyu Ji , Zenghui Yan

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…

Physics and Society · Physics 2020-02-04 Silvia Zaoli , Piero Mazzarisi , Fabrizio Lillo

Betweenness centrality ranks the importance of nodes by their participation in all shortest paths of the network. Therefore computing exact betweenness values is impractical in large networks. For static networks, approximation based on…

Social and Information Networks · Computer Science 2014-09-23 Elisabetta Bergamini , Henning Meyerhenke , Christian L. Staudt

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.…

Data Structures and Algorithms · Computer Science 2020-05-14 Matthias Bentert , Alexander Dittmann , Leon Kellerhals , André Nichterlein , Rolf Niedermeier

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-25 Alexander van der Grinten , Henning Meyerhenke

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

Pattern counting in graphs is fundamental to network science tasks, and there are many scalable methods for approximating counts of small patterns, often called motifs, in large graphs. However, modern graph datasets now contain richer…

Social and Information Networks · Computer Science 2018-10-03 Paul Liu , Austin Benson , Moses Charikar

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

A great variety of complex systems ranging from user interactions in communication networks to transactions in financial markets can be modeled as temporal graphs, which consist of a set of vertices and a series of timestamped and directed…

Social and Information Networks · Computer Science 2020-07-29 Jingjing Wang , Yanhao Wang , Wenjun Jiang , Yuchen Li , Kian-Lee Tan

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
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