Before revision: The Barabasi-Albert model is a very popular model for creating random scale-free graphs . Despite its widespread use, there is a subtle ambiguity in the definition of the model and, consequently, the dependent models and applications. This ambiguity is a result of the model's tight relation with the field of unequal probability random sampling , which dictates the exact process of edge creation after a newborn node has been added.
After revision: The Barabasi-Albert model is a very popular model for creating random scale-free graphs . Despite its widespread use, there is a subtle ambiguity in the definition of the BA model by identifying the tight relation between the preferential attachment process and unequal probability random sampling , which dictates the exact process of edge creation after a newborn node has been added.