Figure 4: NNG equilibrium networks share basic structural properties with real networks. | Nature Communications

Figure 4: NNG equilibrium networks share basic structural properties with real networks.

From: Navigable networks as Nash equilibria of navigation games

Figure 4

The real networks considered are the Internet, metabolic reactions, and the English word network, see Methods. Panels (a,b) show the degree distribution and the average clustering coefficient of nodes of a given degree in the real and NNG networks. The dashed black lines are the power laws with exponents −2 and −1. The power law decay of the clustering coefficient for the NNG is shown analytically in Supplementary Note 7. The clustering coefficient of a node of degree k is the number of triangular subgraphs containing the node, divided by the maximum possible such number, which is k(k−1)/2. In the NNG network, the disk radius is R=21.2 and α=0.5. There are no other parameters.

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