Degree Correlations in Random Geometric Graphs

@article{Antonioni2012DegreeCI,
  title={Degree Correlations in Random Geometric Graphs},
  author={Alberto Antonioni and Marco Tomassini},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2012},
  volume={86 3 Pt 2},
  pages={
          037101
        }
}
  • A. Antonioni, M. Tomassini
  • Published 11 July 2012
  • Mathematics, Computer Science
  • Physical review. E, Statistical, nonlinear, and soft matter physics
Spatially embedded networks are important in several disciplines. The prototypical spatial network 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 dimensions. 

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