I have the following MRF graph and I need to find out about the clique factorization of the graph. I understand what it means for a graph to have a clique factorization. However it seems to be that it will not be unique. Is it true that that is the case? If not can I know how to get the clique factorization of the graph? Or is it not possible to know the clique factorization just from the graph itself?