The density of states was calculated by taking 6.7 × 10^{6} evenly distrubuted points in the first Brillouin zone, calculating the energy of the points, and plotting the distribution of the resulting energies. Since there are 2 states per atom, the integral of the density of states in units of eV^{1} atom^{1} over all states should be 2.

The tightbinding calculation for atoms arranged in a 2d crystal like graphene can be found here. In this calculation, ε and t are arbitrary parameters. For graphene, ε = 0, t = 2.8 eV, and the area of a unit cell 5.245×10^{20} m^{2}. The Matlab file used to generate the density of states is graphenedos.m.
The density of states is tabulated in eV^{1} atom^{1} and eV^{1} m^{2} below. The data in the right column can be copied and pasted into one to the pages that calculate the temperature dependence of thermodynamic quantities.