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Schoening presents a simple randomized algorithm for (d,k)-CSP problems withrunning time (d(k-1)/k)^n poly(n). Here, d is the number of colors, k is thesize of the constraints, and n is the number of variables. A derandomizedversion of this, given by Dantsin et al., achieves a running time of(dk/(k+1))^n poly(n), inferior to Schoening's. We come up with a simplemodification of the deterministic algorithm, achieving a running time of(d(k-1)/k * k^d/(k^d-1))^n \poly(n). Though not completely eleminating the gap,this comes very close to the randomized bound for all but very small values ofd. Our main idea is to define a graph structure on the set of d colors to speedup local search.

Using a Skewed Hamming Distance to Speed Up Deterministic Local Search