"Graphene" is a combination of "graphite" and the suffix -ene, named by Hanns-Peter Boehm,[11] who described single-layer carbon foils in 1962.[5]

The term graphene first appeared in 1987[12] to describe single sheets of graphite as a constituent of graphite intercalation compounds (GICs); conceptually a GIC is a crystalline salt of the intercalant and graphene. The term was also used in early descriptions of carbon nanotubes,[13] as well as for epitaxial graphene[14] and polycyclic aromatic hydrocarbons (PAH).[15] Graphene can be considered an "infinite alternant" (only six-member carbon ring) polycyclic aromatic hydrocarbon.[16]

The IUPAC compendium of technology states: "previously, descriptions such as graphite layers, carbon layers, or carbon sheets have been used for the term graphene... it is incorrect to use for a single layer a term which includes the term graphite, which would imply a three-dimensional structure. The term graphene should be used only when the reactions, structural relations or other properties of individual layers are discussed."[17]

Geim defined "isolated or free-standing graphene" as "graphene is a single atomic plane of graphite, which – and this is essential – is sufficiently isolated from its environment to be considered free-standing."[18] This definition is narrower than the IUPAC definition and refers to cloven, transferred and suspended graphene.[citation needed] Other forms such as graphene grown on various metals, can become free-standing if, for example, suspended or transferred to silicon dioxide (SiO

2) or silicon carbide.[19]

Please have a look at the links below

http://publications.lib.chalmers.se/records/fulltext/187212/187212.pdf

https://www.researchgate.net/post/How_do_I_measure_the_mobility_and_conductivity_of_graphene

.

sections 1.1 and 1.2 of the following thesis do a great job at summarizing the unusual properties of graphene electron transport

http://kim.physics.harvard.edu/wp-uploads/2014/05/Electron-Transport-in-Graphene.pdf

a more complete approach below

http://www.rug.nl/research/portal/files/15667514/Chapter_2.pdf

and a very complete "introduction" :

https://arxiv.org/pdf/1007.2849.pdf

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