Barabasi-Albert Friends

The number of friends a person has is the degree of their node in the social network. For a Barabasi-Albert graph, we know the degree distribution is

$p(k) = c k^{-3}$

where $k$ is the degree number and $c$ is a constant. The ratio of people with one friend to people with three friends is then

$\frac{p(1)}{p(3)} = \frac{c (1^{-3})}{c (3^{-3})} = \frac{1}{1/27} = 27$