# 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