One of the three papers the 2008 reference builds on. How a network is written into logic decides how well a model counter can break the problem into independent parts.
Weighted model counting works on a logical encoding of the network, and model counters gain their speed by splitting a formula into independent components and counting each separately. This paper shows that the encoding itself decides how much of that splitting is possible, and gives encodings that expose more of it. The 2008 journal paper names it as one of the three papers it is based on.
It is part of the answer to why the method scales where others do not: the structure of a real system has to be written down in a form the counter can take apart.
A methods paper on encodings. No product claims attach to it.