Title
KADABRA is an ADaptive Algorithm for Betweenness via Random Approximation.
Abstract
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 on two new theoretical contributions, of independent interest. The first contribution focuses on sampling shortest paths, a subroutine used by most algorithms that approximate betweenness centrality. We show that, on realistic random graph models, we can perform this task in time |E|1/2+o(1) with high probability, obtaining a significant speedup with respect to the Θ(|E|) worst-case performance. We experimentally show that this new technique achieves similar speedups on real-world complex networks, as well. The second contribution is a new rigorous application of the adaptive sampling technique. This approach decreases the total number of shortest paths that need to be sampled to compute all betweenness centralities with a given absolute error, and it also handles more general problems, such as computing the k most central nodes. Furthermore, our analysis is general, and it might be extended to other settings.
Year
DOI
Venue
2016
10.1145/3284359
Journal of Experimental Algorithmics
Keywords
DocType
Volume
Betweenness centrality,graph mining,network analysis,sampling,shortest path algorithm
Journal
24
Issue
ISSN
Citations 
1
1084-6654
7
PageRank 
References 
Authors
0.50
10
2
Name
Order
Citations
PageRank
Michele Borassi1404.13
Emanuele Natale27414.52