Are carbon nanotubes and graphene very flammable?

The reason I ask is because carbon is quite flammable in virtually every shape we encounter in nature. Even diamonds burn as a matter of fact. And after I just saw some steel wool burn easily, I started wondering about graphene and the likes. I mean, it is still a sheet, but it doesn't get thinner than a single atom, right? So in terms of surface area, this would be almost ideal for any form of oxidation. And since it is only 1 atom thick, I suspect it all wants to burn up rather quickly.


Does anyone know about this? Have experiments been conducted?


Edit: Steel Wool.


