A network analysis method may include identifying a data plane for routing traffic through a network that includes one or more forwarding tables for each switch of a plurality of switches in the data plane. The method may also include generating an edge-labeled graph, wherein each edge of the edge-labeled graph is associated with one or more atoms to represent an Internet Protocol (IP) prefix of a forwarding rule of the data plane. Further, the method may include initializing a network summary of the network as a transitive closure of the edge-labeled graph. In addition, the method may include updating the edge-labeled graph to generate an updated edge-labeled graph in response to a modification of a forwarding table of the one or more forwarding tables. Moreover, the method may include determining a transitive closure of the updated edge-labeled graph, and updating the network summary based on the network summary and the transitive closure of the updated edge-labeled graph.