Graphyne is an atom-thick carbon sheet that resemble graphene - but the atomic bonds are different. New computer simulations suggest that graphyne sheets have graphene like electric structures. Because graphyne has unique symmetry, they may have even outperform graphene in some scenarios.
There are many types of Graphynes - as their 2D framework contains triple bonds and not just double bonds as in Graphene. Not many graphyne types have been fabricated till now, but computer simulations of different types is on going.