Title
Computing classic closeness centrality, at scale
Abstract
Closeness centrality, first considered by Bavelas (1948), is an importance measure of a node in a network which is based on the distances from the node to all other nodes. The classic definition, proposed by Bavelas (1950), Beauchamp (1965), and Sabidussi (1966), is (the inverse of) the average distance to all other nodes. We propose the first highly scalable (near linear-time processing and linear space overhead) algorithm for estimating, within a small relative error, the classic closeness centralities of all nodes in the graph. Our algorithm applies to undirected graphs, as well as for centrality computed with respect to round-trip distances in directed graphs. For directed graphs, we also propose an efficient algorithm that approximates generalizations of classic closeness centrality to outbound and inbound centralities. Although it does not provide worst-case theoretical approximation guarantees, it is designed to perform well on real networks. We perform extensive experiments on large networks, demonstrating high scalability and accuracy.
Year
DOI
Venue
2014
10.1145/2660460.2660465
COSN
Keywords
DocType
Volume
estimation,graph algorithms,pivoting,centrality,sampling
Journal
abs/1409.0035
Citations 
PageRank 
References 
18
0.82
37
Authors
4
Name
Order
Citations
PageRank
Edith Cohen13260268.21
Daniel Delling22049108.90
Thomas Pajor339722.39
Renato F. Werneck4174384.33