A graph of Access Points can be used as a tool in a number of applications such as, clarification and better understanding of their semantics and inter-relations, query transformations, more precise query formulation, etc. We apply a procedure to create a graph of the Access Points, according to their subset relationship, based on the official semantics of the Bib-1 Access Points of the Z39.50 protocol. In our three-step method, we first construct the relationship graph of the Access Points by testing for subset relationship between any two Access Points, and assigning each Access Point a weight value designating the number of the Access Points, which are subsets to it. In the second step, we apply a topological sorting algorithm on the graph, and finally in the last step, we reject the redundant subset relationships of the Access Points.