2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/27378A new combinatorial, analytical approach to the ground-state energy problem of spin glasses with different concentrations of +/- J interactions is developed. The energy e_0 is expressed in terms of the fraction of broken bonds mu_0 and expanded into a fast converging series of the average length of a segment between two frustrated plaquettes of a minimum-weighted perfect matching Lambda_mean. The concept of so called diagram stability s is introduced in order to calculate coefficients of this expansion. Finally, the fraction mu_0 as a function of the concentration p of negative bonds is obtained for triangular and square infinite lattices in excellent accordance with numerical simulations of large adequate systems.6 pages, 10 Postscript figures, uses revtex.styCondensed Mattertext