I know of several people using LabVIEW on embedded linux devices, as well as RT linux.
LabVIEW actually doesn't depend on much. It requires the correct version of libc (along with libm and libdl), and libpthread.
It also depends on X (libX11, libXext). It requires an X server to display to, but you should be able to use a dummy X server (with no physical display) in it's place.
In order to run a VI, you'll also need a LabVIEW development system. In order to run a LabVIEW built executable, you won't need the developments system but you will need to install the LabVIEW run-time engine (about 13 megs).