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Using mappings to computer-science problems and by applying sophisticatedalgorithms, one can study numerically many problems much better compared toapplying standard approaches like Monte Carlo simulations. Here, usingcalculations of ground states of suitable perturbed systems, droplets areobtained in two-dimensional +-J spin glasses, which are in the focus of acurrently very lifely debate. Since a sophisticated matching algorithm isapplied here, exact ground states of large systems up to L^2=256^2 spins can begenerated. Furthermore, no equilibration or extrapolation to T=0 is necessary.Three different +-J models are studied here: a) with open boundary conditions,b) with fixed boundary conditions and c) a diluted system where a fractionp=0.125 of all bonds is zero. For large systems, the droplet energy shows forall three models a power-law behavior E_D L^\theta'_D with \theta'_D<0. This isdifferent from previous studies of domain walls, where a convergence to aconstant non-zero value (\theta_dw=0) has been found for such models. Aftercorrecting for the non-compactness of the droplets, the results are likely tobe compatible with \theta_D= -0.29 for all three models.  This is in accordance with the Gaussian system where \theta_D=-0.287(4)(\nu=3.5 via \nu=-1/\theta_D). Nevertheless, the disorder-averaged spin-spincorrelation exponent \eta is determined here via the probability to have anon-zero-energy droplet, and \eta~0.22$ is found for all three models, thisbeing in contrast to the behavior of the model with Gaussian interactions,where exactly \eta=0.

Droplets in the two-dimensional +-J spin glass: evidence for (non-) universality