  The minimal irreducible representations of $U_q[gl(m|n)]$, i.e. those
irreducible representations that are also irreducible under $U_q[osp(m|n)]$ are
investigated and shown to be affinizable to give irreducible representations of
the twisted quantum affine superalgebra $U_q[gl(m|n)^{(2)}]$. The
$U_q[osp(m|n)]$ invariant R-matrices corresponding to the tensor product of any
two minimal representations are constructed, thus extending our twisted tensor
product graph method to the supersymmetric case. These give new solutions to
the spectral-dependent graded Yang-Baxter equation arising from
$U_q[gl(m|n)^{(2)}]$, which exhibit novel features not previously seen in the
untwisted or non-super cases.
