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Social studies researchers use graphs to model group activities in social networks. An important property in this context is the centrality of a vertex: the inverse of the average distance to each other vertex. We describe a randomized…

Data Structures and Algorithms · Computer Science 2011-03-08 David Eppstein , Joseph Wang

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 is a popular centrality measure with applications in several domains, and whose exact computation is impractical for modern-sized networks. We present SILVAN, a novel, efficient algorithm to compute, with high…

Data Structures and Algorithms · Computer Science 2022-06-02 Leonardo Pellegrina , Fabio Vandin

Betweenness centrality, measured by the number of times a vertex occurs on all shortest paths of a graph, has been recognized as a key indicator for the importance of a vertex in the network. However, the betweenness of a vertex is often…

Databases · Computer Science 2021-07-22 Qi Zhang , Rong-Hua Li , Minjia Pan , Yongheng Dai , Guoren Wang , Ye Yuan

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

Graph centrality measures use the structure of a network to quantify central or "important" nodes, with applications in web search, social media analysis, and graphical data mining generally. Traditional centrality measures such as the well…

Social and Information Networks · Computer Science 2021-01-20 Liang Lyu , Brandon Fain , Kamesh Munagala , Kangning Wang

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

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

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,…

Data Structures and Algorithms · Computer Science 2018-08-02 Elisabetta Bergamini , Pierluigi Crescenzi , Gianlorenzo D'Angelo , Henning Meyerhenke , Lorenzo Severini , Yllka Velaj

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

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 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

The study of vertex centrality measures is a key aspect of network analysis. Naturally, such centrality measures have been generalized to groups of vertices; for popular measures it was shown that the problem of finding the most central…

Data Structures and Algorithms · Computer Science 2019-10-31 Eugenio Angriman , Alexander van der Grinten , Aleksandar Bojchevski , Daniel Zügner , Stephan Günnemann , Henning Meyerhenke

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

Here we present a range-limited approach to centrality measures in both non-weighted and weighted directed complex networks. We introduce an efficient method that generates for every node and every edge its betweenness centrality based on…

Physics and Society · Physics 2011-11-24 Maria Ercsey-Ravasz , Ryan Lichtenwalter , Nitesh V. Chawla , Zoltan Toroczkai

Given a connected graph $G=(V,E)$, the closeness centrality of a vertex $v$ is defined as $\frac{n-1}{\sum_{w \in V} d(v,w)}$. This measure is widely used in the analysis of real-world complex networks, and the problem of selecting the $k$…

Data Structures and Algorithms · Computer Science 2017-04-28 Elisabetta Bergamini , Michele Borassi , Pierluigi Crescenzi , Andrea Marino , Henning Meyerhenke

Estimating influential nodes in large scale networks including but not limited to social networks, biological networks, communication networks, emerging smart grids etc. is a topic of fundamental interest. To understand influences of nodes…

Social and Information Networks · Computer Science 2014-06-13 Sima Das

One key problem in network analysis is the so-called influence maximization problem, which consists in finding a set $S$ of at most $k$ seed users, in a social network, maximizing the spread of information from $S$. This paper studies a…

Computer Science and Game Theory · Computer Science 2020-03-19 Ruben Becker , Gianlorenzo D'Angelo , Hugo Gilbert

Finding central nodes is a fundamental problem in network analysis. Betweenness centrality is a well-known measure which quantifies the importance of a node based on the fraction of shortest paths going though it. Due to the dynamic nature…

Data Structures and Algorithms · Computer Science 2017-04-28 Elisabetta Bergamini , Henning Meyerhenke , Mark Ortmann , Arie Slobbe