  The quasi-2D electrons in graphene behave as massless fermions obeying a
Dirac-Weyl equation in the low-energy regime near the two Fermi points. The
stability of spin-polarized phases (SPP) in graphene is considered. The
exchange energy is evaluated from the analytic pair-distribution functions, and
the correlation energies are estimated via a closely similar four-component 2D
electron fluid which has been investigated previously. SPPs appear for
sufficiently high doping, when the exchange energy alone is considered.
However, the inclusion of correlations is found to {\it suppress} the
spin-phase transition in ideal graphene.
