We study numerically the giant magnetoresistance (GMR) of magnetic nanopart
icle aggregates formed on a planar substrate by a diffusion process that is
driven by the magnetostatic dipolar interactions between the particles. Th
e growth of aggregates is modeled by a diffusion limited cluster aggregatio
n model and the GMR of the assembly is expressed in terms of the short rang
e spin correlation function. The latter is obtained by a Monte Carlo simula
tion. We show that the spin correlation function of the aggregates can be d
escribed by a scaling law that involves the fractal dimensionality of the s
tructure. The formation of aggregates causes a large reduction of the low-f
ield GMR because the role of interparticle dipolar interactions is enhanced
due to the chainlike morphology of the aggregates.