We all get confused by the name "graphene" as it has now become a routine to use the word for many 2D carbon materials which actually are not real "graphene". One can have a look at the following article which provides a recommended nomenclature for 2D carbon materials. Its a must read for newcomers and a guide for those who are already in the field.

http://www.sciencedirect.com/science/article/pii/S0008622313008002