Figure 3
From: Random walk hierarchy measure: What is more hierarchical, a chain, a tree or a star?

The average random walk hierarchy 〈H〉 as a function of the average branching number 〈b〉 for general trees of N = 1000 nodes, averaged over 100 instances.
When 〈b〉 is close to one, the tree is basically a chain, whereas at very large branching number, its structure is close to a star.