Distribution of Degrees in Networks
Buildup
Random networks are random elements whose function values are networks, therefore, every time we sample, we get different networks. Depending on the method of constructing the network, or in other words, the model, we may have some consistent properties, but the realizations obtained are each unique. According to this, the degree of each node $\deg$ also changes with every sampling, and since the degree is an extremely important element in network theory, it is considered a random variable and draws interest.