Lecture Notes in Computer Science
DOI: 10.1007/978-3-540-77004-6_10
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Approximating Betweenness Centrality

Abstract: Abstract. Betweenness is a centrality measure based on shortest paths, widely used in complex network analysis. It is computationally-expensive to exactly determine betweenness; currently the fastest-known algorithm by Brandes requires O(nm) time for unweighted graphs and O(nm + n 2 log n) time for weighted graphs, where n is the number of vertices and m is the number of edges in the network. These are also the worstcase time bounds for computing the betweenness score of a single vertex. In this paper, we pres… Show more

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Cited by 262 publications
(196 citation statements)
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“…This is double the 5% percentage suggested for use in [4]. For more details on the algorithm used, see [3].…”
Section: Robustness Resultsmentioning
confidence: 85%
“…This is double the 5% percentage suggested for use in [4]. For more details on the algorithm used, see [3].…”
Section: Robustness Resultsmentioning
confidence: 85%
“…The Centrality measure [21] is used to find the most important metrics that are residing in the graph. Centrality measure would help the investigators in predicting the important areas where the similar types of crimes happening.…”
Section: Centrality Measurementioning
confidence: 99%
“…Many of these methods use principles of artificial intelligence and graph theory. While some of these algorithms use betweenness centrality, another category uses hierarchical clustering, k-clique percolation to identify the nodes that form a community [4]. Another class of algorithms views community as a evolution of social interaction.…”
Section: Related Workmentioning
confidence: 99%