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Distance distribution

Distance statistics can be visualized in the distance distribution plot. The distance distribution plot shows, for each integer \(k\), the number of node pairs at distance \(k\) from each other, divided by the total number of node pairs. The distance distribution plot can be used to read off the diameter, the median path length, and the 90-percentile effective diameter. For temporal networks, the distance distribution plot can be shown over time.

The non-temporal distance distribution plot shows the cumulated distance distribution function between all node pairs \((u,v)\) in the network, including pairs of the form \((u,u)\), whose distance is zero.

Distance distribution

Distance distribution on a logistic scale