Discovering the network topology in computer networks is challenging due to limited communication and incomplete information about non-immediately connected nodes. In this paper we address the problem of assembling partial views obtained by discovery tools into a coherent representation, using round-trip graphs: labelled bipartite directed graphs representing the communications between hosts, interfaces, and networks. A merge operation is introduced, facilitating compositional and incremental assembly of partial views. This research provides a practical solution for incrementally constructing a comprehensive network topology.