  We report compressive mechanical response of graphene foams (GFs) and the
thermal resistance ($R_{TIM}$) between copper (Cu) and GFs, where GFs were
prepared by the chemical vapor deposition (CVD) method. We observe that Young's
modulus ($E_{GF}$) and compressive strength ($\sigma_{GF}$) of GFs have a power
law dependence on increasing density ($\rho_{GF}$) of GFs. The maximum
efficiency of absorbed energy ($\eta_{max}$) for all GFs during the compression
is larger than ~0.39. We also find that a GF with a higher $\rho_{GF}$ shows a
larger $\eta_{max}$. In addition, we observe that the measured $R_{TIM}$ of
Cu/GFs at room temperature with a contact pressure of 0.25 MP applied increases
from ~50 to ~90 $mm^2K/W$ when $\rho_{GF}$ increases from 4.7 to 31.9
$mg/cm^3$.
