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Keyword: greedy algorithm ×Clear all

2 claims from 1 paper

1. Computer Science › Constraint Satisfaction and Optimization

   The probabilistic analysis of a greedy satisfiability algorithm

   Kaporis, Kirousis and Lalas · Random Structures and Algorithms · 2005

   The paper analyses a simple greedy heuristic for satisfying random 3-CNF formulas, proving success below ratio 3.42, then extending this to 3.52 by also using the negated literal's degree.

   Unchecked2 claims
   Show 2 claims

   1. UncheckedA refined greedy heuristic that also considers the negated literal's degree is shown to succeed on random 3-CNF formulas up to a clauses-to-variables ratio of 3.52.“We improve up to r 3 < 3.52 by further exploiting the degree of the negation of the evaluated to True literal.”
   2. Unchecked“We prove that for r 3 < 3.42 this heuristic succeeds with probability asymptotically bounded away from zero.”