Subject: [Rutgers University] Pajek usage From: "Jocelyn A. Alexander" <joalex@eden.rutgers.edu> Date: Sat, March 1, 2008 15:51 Could you please let me know what the variables in the scale-free equation (Pajek Manual, last equation on page 18) mean?

As it is written in the manual - it is a generalization of the model from D.M. Pennock etal., Winners don’t take all. The model from this paper you get if you put α = β - since in directed graph deg(v)=indeg(v)+outdeg(v).

What does 'beta' (Pajek Manual, last equation on page 18) represent? Also, when creating scale-free networks in Pajek, it asks for "Initial Erdos-Renyi graph - number of vertices". What is the reason for asking so? Or, Why are the number of vertices and initial probability of lines of Erdos-Renyi graph important when creating a scale-free network?

Look in Lada Adamic's Lecture 7 (winter 2006).