  We investigate $\mathcal{PT}$-symmetric coherent perfect absorbers (CPAs) in
the TE mode solution of a linear homogeneous optical system surrounded by
graphene sheets. It is revealed that presence of graphene sheets contributes
the enhancement of absorption in a coherent perfect absorber. We derive exact
analytic expressions, and work through their possible impacts on lasing
threshold and CPA conditions. We point out roles of each parameter governing
optical system with graphene and show that optimal conditions of these
parameters give rise to enhancement and possible experimental realization of a
CPA laser. Presence of graphene leads the required gain amount to reduce
considerably based on its chemical potential and temperature. We obtain that
relation between system parameters decides the measure of CPA condition. We
find out that graphene features contributing to resonance effect in graphene
sheets are rather preferable to build a better coherent perfect absorber.
