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Degree Correlations in Random Geometric Graphs (1207.2573v2)
Published 11 Jul 2012 in cond-mat.stat-mech, cs.SI, and physics.soc-ph
Abstract: Spatially embedded networks are important in several disciplines. The prototypical spatial net- work we assume is the Random Geometric Graph of which many properties are known. Here we present new results for the two-point degree correlation function in terms of the clustering coefficient of the graphs for two-dimensional space in particular, with extensions to arbitrary finite dimension.
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