The outdegree exponent: O
Plot frequency (fd) versus d in log-log scale => linearity present again
Power-law 2 (outdegree exponent): The frequency, fd, of an outdegree, d, is proportional to the outdegree to the power of a constant, O: fd is proportional to dO
Definition: Define the outdegree exponent, O, as the slope of the plot of the frequency of the outdegrees versus the outdegrees in log-log scale.
Exponent Top1 Top2 Top3 Top4 outdegree -2.15 -2.16 -2.20 -2.48
All data sets studied obey the power-law, which suggests that Power-law 2 describes a fundamental property of the network
Note that we might use this law to test the “realism” of a graph with a simple numerical comparison.