Question

Using the maximum likelihood method, adjust a power law distribution to the degree

distribution of your network and test the quality of the result by calculating the root mean square

error between the estimated and the actual degree distribution. Write down explicitly the

expression for the adjusted power law.

Answer 1

The power law (also called the scaling law) states that a relative change in one quantity results in a proportional relative change in another. A power law distribution has the form Y = k X^α, where: X and Y are variables of interest, α is the law's exponent, k is a constant