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Extensive computations of ground state energies of the Edwards-Anderson spinglass on bond-diluted, hypercubic lattices are conducted in dimensionsd=3,..,7. Results are presented for bond-densities exactly at the percolationthreshold, p=p_c, and deep within the glassy regime, p>p_c, where findingground-states becomes a hard combinatorial problem. Finite-size corrections ofthe form 1/N^w are shown to be consistent throughout with the predictionw=1-y/d, where y refers to the "stiffness" exponent that controls the formationof domain wall excitations at low temperatures. At p=p_c, an extrapolation for$d\to\infty$ appears to match our mean-field results for these corrections. Inthe glassy phase, w does not approach the value of 2/3 for large d predictedfrom simulations of the Sherrington-Kirkpatrick spin glass. However, the valueof w reached at the upper critical dimension does match certain mean-field spinglass models on sparse random networks of regular degree called Bethe lattices.

Finite-Size Corrections for Ground States of Edwards-Anderson Spin Glasses