Network Statistics

Description

  • A directed network
  • Nodes represent papers
  • Edges represent a reference in one paper to another
  • Many papers include references to papers outside of the network. These edges have been dropped.
  • Disconnected nodes have not been included.

General Statistics

  • nodes: 18164
  • edges: 110975
  • diameter:
  • average degree: 12.22
  • largest connected component size: 17958
  • Degree statistics:
    • in degree stats:
      • power law exponent: 2.46 r-squared: 0.98
      • not a power law relationship (p = 2.00)
      • Newman power law exponent: 1.92, error: 0.01
    • out degree stats:
      • power law exponent: 3.62 r-squared: 0.87
      • not a power law relationship (p = 2.00)
      • Newman power law exponent: 1.92, error: 0.01
    • total degree stats:
      • power law exponent: 2.69 r-squared: 0.97
      • not a power law relationship (p = 2.00)
      • Newman power law exponent: 1.69, error: 0.00
  • Clustering:
    • Watts Strogatz clustering coefficient: 0.1803
    • Newman clustering coefficient: 0.0631
    • clairlib avg. directed shortest path: 5.82
    • Ferrer avg. directed shortest path: 5.52
    • harmonic mean geodesic distance: 56.03

Description

  • A directed network
  • Nodes represent authors
  • Edges represent references from one author to another

General Statistics

  • nodes: 11513
  • edges: 325209
  • diameter: 9
  • average degree: 56.49
  • largest connected component size: 11454
  • Degree statistics:
    • in degree stats:
      • power law exponent: 2.16 r-squared: 0.9
      • not a power law relationship (p = 2.00)
      • Newman power law exponent: 1.52, error: 0
    • out degree stats:
      • power law exponent: 2.51 r-squared: 0.86
      • not a power law relationship (p = 2.00)
      • Newman power law exponent: 1.49, error: 0
    • total degree stats:
      • power law exponent: 2.24 r-squared: 0.89
      • not a power law relationship (p = 2.00)
      • Newman power law exponent: 1.42, error: 0
  • Clustering:
    • Watts Strogatz clustering coefficient: 0.4652
    • Newman clustering coefficient: 0.1488
    • clairlib avg. directed shortest path: 3.17
    • Ferrer avg. directed shortest path: 3.19
    • harmonic mean geodesic distance: 4.89

Description

  • An undirected network
  • Nodes represent authors
  • Edges represent instances where one author coauthored a paper with another author

General Statistics

  • nodes: 16081
  • edges: 49561
  • diameter: 15
  • average degree: 6.16
  • largest connected component size: 13259
  • Degree statistics:
    • total degree stats:
      • power law exponent: 3.08 r-squared: 0.91
      • not a power law relationship (p = 2.00)
      • Newman power law exponent: 2.12, error: 0.01
  • Clustering:
    • Watts Strogatz clustering coefficient: 0.6681
    • Newman clustering coefficient: 0.2915
    • clairlib avg. directed shortest path: 5.47
    • Ferrer avg. directed shortest path: 4.66
    • harmonic mean geodesic distance: 7.57