1. A method of modeling a replication topology, comprising: representing, using a processor coupled to memory, a plurality of replication servers of a replication topology in a first binary matrix, said plurality of replication servers being represented as senders of directory data updates in rows of the first binary matrix and as receivers of the directory data updates in columns of the first binary matrix; generating, using the processor, a result matrix based at least in part on the first binary matrix; and identifying, using the processor, any replication server of the replication topology that is not enabled to receive the directory data updates from at least one other replication server of the replication topology based at least in part on the result matrix.