Determining a transaction topology of a network through generating and solving an adjacency matrix. A transaction is performed in a network and a list of statistics generated by the transaction is collected. The statistics provide a calculation of the number of inbound transactions and the number of outbound transactions for each node. A matrix structure is composed with the statistic. Constraints are applied to the matrix structure and a solution set of topology structures for the network is determined. The solution set of topology structures may be refined as needed with application of additional constraints.