  We consider the field theory on non-commutative superspace and
non-commutative spacetime that arises on D-branes in Type II superstring theory
with a constant self-dual graviphoton and NS-NS $B$ field background. $\N=1$
supersymmetric field theories on this non-commutative space (such theories are
called $\N=1/2$ supersymmetric theories.) can be reduced to supermatrix models
as in hep-th/0303210 \cite{KKM}. We take an appropriate commutative limit in
these theories and show that holomorphic quantities in commutative field
theories are equivalent to reduced models, including non-planar diagrams to
which the graviphoton contributes. This is a new derivation of Dijkgraaf-Vafa
theory including non-planar diagrams.
