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YahooWeb
10 4
10 3
Slope = -2.30
10 2
10 1
10 0
10 -6
10 -5
10 -4
10 -3
PageRank
FIGURE 8.13 PageRank distribution of YahooWeb. The distribution follows a power law
with an exponent 2.30.
10 6
WWW-Barabasi
10 5
10 4
Slope = -2.25
10 3
10 2
10 1
10 0
10 -7
10 -6
10 -5
PageRank
10 -4
10 -3
FIGURE 8.14 PageRank distribution of WWW-Barabasi. The distribution follows a power
law with an exponent 2.25.
8.6.3 D iameter oF r eal -w orlD n etworks
PEGASUS reveals new patterns in massive graphs, which we present in this section.
We distinguish these new patterns into static (Section 8.6.4) and temporal (Section
8.6.5).
8.6.4
s tatiC P atterns
8.6.4.1 Diameter
What is the diameter of the web? Albert et al. [5] computed the diameter on a directed
web graph with approximately 0.3 million vertices and conjectured that it should be
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