  A generalized algebra of noncommutative coordinates and momenta embracing
non-Abelian gauge fields is proposed. Through a two-dimensional realization of
this algebra for a gauge field including electromagnetic vector potential and
two spin-orbit-like coupling terms, a Dirac-like Hamiltonian in noncommutative
coordinates is introduced. We established the corresponding energy spectrum and
from that we derived the relation between the energy level quantum number and
the magnetic field at the maxima of Shubnikov-de Haas oscillations. By tuning
the non-commutativity parameter \theta in terms of the values of magnetic field
at the maxima of Shubnikov-de Haas oscillations we accomplished the
experimentally observed Landau plot of the peaks for graphene. Accepting that
the experimentally observed behavior is due to the confinement of carriers, we
conclude that our method of introducing noncommutative coordinates provides
another formulation of the confined massless Dirac fermions in graphene.
