  Electronic screening strongly renormalizes the linear bands which occur near
the Dirac crossing in graphene. The single bare Dirac crossing is split into
two individual Dirac-like points, which are separated in energy but still at
zero momentum relative to the K-point. A diamond-like structure occurs in
between as a result of the formation of plasmarons. In this work we explore the
combined effect of electron-electron and electron-phonon coupling on the
renormalized energy dispersion, the spectral function and on the electronic
density of states. We find that distinct signatures of the plasmaron structure
are observable in the density of states with the split Dirac points presenting
themselves as minima with quadratic dependence on energy about such points. By
examining the slopes of both the density of states and the renormalized
dispersion near the Fermi level, we illustrate how one can separate
$k$-dependent and $\omega$-dependent renormalizations and suggest how this
might allow for the isolation of the renormalization due to the electron-phonon
interaction from that of the electron-electron interaction.
