  We demonstrate that the operation of taking disjoint unions of J-holomorphic
curves (and thus obtaining new J-holomorphic curves) has a Seiberg-Witten
counterpart. The main theorem asserts that, given two solutions (A_i, psi_i),
i=0,1 of the Seiberg-Witten equations for the Spin^c-structure W^+_{E_i}= E_i
direct sum (E_i tensor K^{-1}) (with certain restrictions), there is a solution
(A, psi) of the Seiberg-Witten equations for the Spin^c-structure W_E with E=
E_0 tensor E_1, obtained by `grafting' the two solutions (A_i, psi_i).
