Collocations for roof - noun

conical, flat, gabled, mansard, pitched, pointed, sloped (esp. AmE), sloping, steep
corrugated-iron (esp. BrE), corrugated-metal (AmE), glass, metal, slate, steel, thatched, tiled, tin
leaky
retractable, sun
car, church, etc.

support
The roof is supported by stone columns.

cover
The roof was covered with red clay tiles.

slope
The roof slopes down to the top of the windows.

cave in, collapse, fall in
Five people were killed when the roof fell in.

leak

space (esp. BrE)
The burglars removed tiles to climb into the roof space.

covering, slate (esp. BrE), tile
beams, rafters, structure, timbers (esp. BrE)
top (usually rooftop)
A figure appeared on a nearby rooftop.

insulation
deck (esp. AmE), garden, terrace
The hotel has a charming roof garden.

rack

in a/the roof
There are small windows in the roof.

on a/the roof
There's a cat on the roof.

under your roof (= in your house)
I won't have that man under my roof again!

under one roof, under the same roof (= in the same building)
We're good friends but we could never live under the same roof.