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Modularity clustering is force-directed layout

2008.
Authors: Andreas Noack
URL: http://www.citebase.org/abstract?id=oai:arXiv.org:0807.4052
Description: [0807.4052] Modularity clustering is force-directed layout
Tags: clustering communities community graph layout modularity network sna
Abstract: Two natural and widely used representations for the community structure of networks are clusterings, which partition the vertex set into disjoint subsets, and layouts, which assign the vertices to positions in a metric space. This paper unifies prominent characterizations of layout quality and clustering quality, by showing that energy models of pairwise attraction and repulsion subsume Newman and Girvan's modularity measure. Layouts with optimal energy are relaxations of, and are thus consistent with, clusterings with optimal modularity, which is of practical relevance because both representations are complementary and often used together.
| URL | BibTeX  
@misc{noack08modularity,
title = {Modularity clustering is force-directed layout},
author = {Andreas Noack},
url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0807.4052},
year = {2008},
description = {[0807.4052] Modularity clustering is force-directed layout},
abstract = { Two natural and widely used representations for the community structure of networks are clusterings, which partition the vertex set into disjoint subsets, and layouts, which assign the vertices to positions in a metric space. This paper unifies prominent characterizations of layout quality and clustering quality, by showing that energy models of pairwise attraction and repulsion subsume Newman and Girvan's modularity measure. Layouts with optimal energy are relaxations of, and are thus consistent with, clusterings with optimal modularity, which is of practical relevance because both representations are complementary and often used together.},
keywords = {clustering communities community graph layout modularity network sna }
}