How to draw Metro Map style infographics? Moscow, New York, Los Angeles, London

This spatial infographic example was created on the base of the tube map from the Transport for London website.
[tfl.gov.uk/ assets/ images/ general/ 24746-nle-gallery-tube-map.jpg]
"The Tube map is a schematic transit map of the lines and stations of London's public rapid transit railway systems, namely the London Underground (commonly known as the Tube, hence the name), Docklands Light Railway, London Overground and Emirates Air Line, as well as being incorporated into Greater London connections maps.
As a schematic diagram, it shows not necessarily the geographic but rather the relative positions of stations along the lines, stations' connective relations with each other and fare zones. The basic design concepts have been widely adopted for other network maps around the world, especially that of mapping topologically rather than geographically." [Tube map. Wikipedia]
The spatial infographics example "Metro map - Northern line extension to Battersea via Nine Elms" was created using the ConceptDraw PRO diagramming and vector drawing software extended with the Spatial Infographics solution from the area "What is Infographics" of ConceptDraw Solution Park.
www.conceptdraw.com/ solution-park/ infographics-spatial