router seems to get questions actually about routers—the <$100 Linksys, etc. boxes. Things like loading custom firmware on them, and getting WiFi connections to work.
routing seems to actually get questions about IP routing. route seems to be the same thing. Suggest merging both to routing.
I suggest keeping router for questions about the Linux aspects of the small routers that Linksys/D.Link/Netgear/etc. sell: on some you can get to the command line, on many you can install custom Linux firmwares. I suggest it not include "how do I connect my Unix box to my wireless network?". I suggest also not to include "how do I configure the stock firmware on my Linksys?" as off-topic, try Superuser.
I suggest using routing for questions about the IP routing features in the kernel, as well as related daemons (e.g., quagga).