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In this brief report we explore the energy landscapes of two spin glassmodels using a greedy single-spin flipping process, {\tt Gmax}. Theground-state energy density of the random maximum two-satisfiability problem isefficiently approached by {\tt Gmax}. The achieved energy density $e(t)$decreases with the evolution time $t$ as $e(t)-e(\infty)=h (\log_{10} t)^{-z}$with a small prefactor $h$ and a scaling coefficient $z > 1$, indicating anenergy landscape with deep and rugged funnel-shape regions. For the $\pm J$Viana-Bray spin glass model, however, the greedy single-spin dynamics quicklygets trapped to a local minimal region of the energy landscape.

Approaching the ground states of the random maximum two-satisfiability problem by a greedy single-spin flipping process