4. The medium of claim 1 , wherein the program causes the processor to: consolidate the sets of configuration data associated with a third hierarchical level to identify connections at the third hierarchical level, and after the connectivity graph has been modified to include the identified connections at the second hierarchical: for each identified connection at the third hierarchical level: determine whether the identified connection at the third hierarchical level is consistent with the connectivity graph, and if consistent, further modify the connectivity graph to include the identified connection at the third hierarchical level.
4. The medium of claim 1 , wherein the program causes the processor to: consolidate the sets of configuration data associated with a third hierarchical level to identify connections at the third hierarchical level, and after the connectivity graph has been modified to include the identified connections at the second hierarchical: for each identified connection at the third hierarchical level: determine whether the identified connection at the third hierarchical level is consistent with the connectivity graph, and if consistent, further modify the connectivity graph to include the identified connection at the third hierarchical level. 5. The medium of claim 4 , wherein the program causes the processor to infer an additional connection at the first hierarchical level to enable the identified connection at the third hierarchical level, and modify the connectivity graph by including the inferred additional connection.