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Related papers: Computing Classic Closeness Centrality, at Scale

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The betweenness centrality (BC) of a node in a network (or graph) is a measure of its importance in the network. BC is widely used in a large number of environments such as social networks, transport networks, security/mobile networks and…

Data Structures and Algorithms · Computer Science 2019-02-06 Matteo Pontecorvi , Vijaya Ramachandran

Centrality descriptors are widely used to rank nodes according to specific concept(s) of importance. Despite the large number of centrality measures available nowadays, it is still poorly understood how to identify the node which can be…

Methodology · Statistics 2020-01-13 Giulia Bertagnolli , Claudio Agostinelli , Manlio De Domenico

The Straightness is a measure designed to characterize a pair of vertices in a spatial graph. It is defined as the ratio of the Euclidean distance to the graph distance between these vertices. It is often used as an average, for instance to…

Discrete Mathematics · Computer Science 2023-05-12 Vincent Labatut

Distributed algorithms for network science applications are of great importance due to today's large real-world networks. In such algorithms, a node is allowed only to have local interactions with its immediate neighbors. This is because…

Social and Information Networks · Computer Science 2019-06-21 Hamidreza Mahyar , Rouzbeh Hasheminezhad , H Eugene Stanley

Centrality measures for simple graphs are well-defined and several main-memory algorithms exist for each. Simple graphs are not adequate for modeling complex data sets with multiple entities and relationships. Multilayer networks (MLNs)…

Information Theory · Computer Science 2023-08-15 Hamza Reza Pavel , Abhishek Santra , Sharma Chakravarthy

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

Centrality measures have been defined to quantify the importance of a node in complex networks. The relative importance of a node can be measured using its centrality rank based on the centrality value. In the present work, we predict the…

Social and Information Networks · Computer Science 2016-11-29 Akrati Saxena , Vaibhav Malik , S. R. S. Iyengar

Measures of complex network analysis, such as vertex centrality, have the potential to unveil existing network patterns and behaviors. They contribute to the understanding of networks and their components by analyzing their structural…

Social and Information Networks · Computer Science 2018-11-06 Felipe Grando , Diego Noble , Luis C. Lamb

There is great significance in evaluating a node's Influence ranking in complex networks. Over the years, many researchers have presented different measures for quantifying node interconnectedness within networks. Therefore, this paper…

Social and Information Networks · Computer Science 2024-08-05 Auwal Tijjani Amshi

In complex networks, each node has some unique characteristics that define the importance of the node based on the given application-specific context. These characteristics can be identified using various centrality metrics defined in the…

Social and Information Networks · Computer Science 2020-11-17 Akrati Saxena , Sudarshan Iyengar

The calculation of centrality measures is common practice in the study of networks, as they attempt to quantify the importance of individual vertices, edges, or other components. Different centralities attempt to measure importance in…

Social and Information Networks · Computer Science 2013-05-15 M. Puck Rombach , Mason A. Porter

Network analysis has emerged as a key technique in communication studies, economics, geography, history and sociology, among others. A fundamental issue is how to identify key nodes, for which purpose a number of centrality measures have…

Social and Information Networks · Computer Science 2018-01-08 László Csató

We introduce a new measure of centrality, the information centrality C^I, based on the concept of efficient propagation of information over the network. C^I is defined for both valued and non-valued graphs, and applies to groups and classes…

Other Condensed Matter · Physics 2007-05-23 Vito Latora , Massimo Marchiori

Extracting information from real-world large networks is a key challenge nowadays. For instance, computing a node centrality may become unfeasible depending on the intended centrality due to its computational cost. One solution is to…

Social and Information Networks · Computer Science 2020-11-30 Matheus R. F. Mendonça , André M. S. Barreto , Artur Ziviani

Centrality is one of the most fundamental metrics in network science. Despite an abundance of methods for measuring centrality of individual vertices, there are by now only a few metrics to measure centrality of individual edges. We modify…

Physics and Society · Physics 2019-09-25 Timo Bröhl , Klaus Lehnertz

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 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

The betweenness centrality of graphs using random walk paths instead of geodesics is studied. A scaling collapse with no adjustable parameters is obtained as the graph size $N$ is varied; the scaling curve depends on the graph model. A…

Physics and Society · Physics 2016-07-04 O. Narayan , I. Saniee

Analyzing networks requires complex algorithms to extract meaningful information. Centrality metrics have shown to be correlated with the importance and loads of the nodes in network traffic. Here, we are interested in the problem of…

Data Structures and Algorithms · Computer Science 2013-03-05 Ahmet Erdem Sariyuce , Kamer Kaya , Erik Saule , Umit V. Catalyurek

We study the complexity of local graph centrality estimation, with the goal of approximating the centrality score of a given target node while exploring only a sublinear number of nodes/arcs of the graph and performing a sublinear number of…

Data Structures and Algorithms · Computer Science 2018-08-07 Marco Bressan , Enoch Peserico , Luca Pretto