  Exploring the properties of strongly correlated systems through quantum
simulation with photons, cold atoms or polaritons represents an active area of
research. In fact, the latter permits to shed the light on the behavior of
complex systems which are hardly to be addressed in the laboratory or tackled
numerically. In this study we discuss an analogue of graphene formed by
exciton-polariton spin vortices arranged into a hexagonal lattice. We show how
the graphene-type dispersion at different energy scales arises for several
types of exciton-polariton spin vortices. In contrast to previous studies of
exciton-polaritons in artificial lattices, the use of exciton-polariton spin
vortex modes offers a more rich playground for quantum simulations. In
particular, we demonstrate that the sign of the nearest neighbor coupling
strength can be inverted.
