Computer systems and methods for improving a computer's ability to interface with a user to configure one or more internetworking services provided by a first group of computers for a second group of computers using a pictorial graph with nodes that represent logical network objects. In an embodiment, a computer system comprises: a display; a memory persistently storing a set of instructions and a set of data that defines a plurality of logical network objects; one or more processors coupled to the memory and the display, wherein the one or more processors execute the set of instructions, which causes the one or more processors to: retrieve, from the memory, the set of data that defines a plurality of logical network objects, wherein a first logical network object represents a particular internetworking service that is provided by one or more first computing devices among the plurality of computing devices in the computer network, and a second logical network object represents a corresponding grouping of one or more second computing devices of the plurality of computing devices in the computer network; cause to present, on the display, a plurality of nodes in a first pictorial graph, wherein each node in the plurality of nodes corresponds respectively to each object in the plurality of logical network objects.