Degree Correlations in Random Geometric Graphs
Statistical Mechanics
2013-03-21 v2 Social and Information Networks
Physics and Society
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.
Cite
@article{arxiv.1207.2573,
title = {Degree Correlations in Random Geometric Graphs},
author = {Alberto Antonioni and Marco Tomassini},
journal= {arXiv preprint arXiv:1207.2573},
year = {2013}
}