Before revision:  In this work, we identify the ambiguity, assess its impact and propose a more precise definition of the Barabasi-Albert model that is expressed as an application of unequal probability random sampling  .
After revision:  In this work, we identify the ambiguity, assess its impact and propose a more precise definition of the Barabasi-Albert model that is expressed as an application of unequal probability random sampling , we also highlight a confusion about the process via which nodes are selected on each time step, for which -- despite being implicitly indicated in the original paper -- current literature appears fragmented .