Finding community structure in very large networks

dc.creatorClauset, Aaron
dc.creatorNewman, M. E. J.
dc.creatorMoore, Cristopher
dc.date2004-08-09
dc.date2004-08-30
dc.date.accessioned2026-07-07T09:31:43Z
dc.date.available2026-07-07T09:31:43Z
dc.descriptionThe discovery and analysis of community structure in networks is a topic of considerable recent interest within the physics community, but most methods proposed so far are unsuitable for very large networks because of their computational cost. Here we present a hierarchical agglomeration algorithm for detecting community structure which is faster than many competing algorithms: its running time on a network with n vertices and m edges is O(m d log n) where d is the depth of the dendrogram describing the community structure. Many real-world networks are sparse and hierarchical, with m ~ n and d ~ log n, in which case our algorithm runs in essentially linear time, O(n log^2 n). As an example of the application of this algorithm we use it to analyze a network of items for sale on the web-site of a large online retailer, items in the network being linked if they are frequently purchased by the same buyer. The network has more than 400,000 vertices and 2 million edges. We show that our algorithm can extract meaningful communities from this network, revealing large-scale patterns present in the purchasing habits of customers.
dc.identifierhttps://arxiv.org/abs/cond-mat/0408187
dc.identifierhttp://arxiv.org/abs/cond-mat/0408187
dc.identifierPhys. Rev. E 70, 066111 (2004)
dc.identifierdoi:10.1103/PhysRevE.70.066111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158556
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleFinding community structure in very large networks
dc.typetext

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