They are often considered a type of flow diagram, but they differ from flowcharts, that a routing is pictured in a physical layout.
There is a similarity with design of Electrical equipment, where routing diagrams also in show "the physical layout of the facility and equipment and how the circuit how the circuit to the various equipment is run.
Likewise a ground plan or site map show all the space, buildings and/or rooms, the routing map shows one specific route on site.
Routing diagrams are used in plant layout study.
The routing diagram can consist of a floor plan with a trace attached, or a 3d cross section of a building with a trace.