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Automated Reencoding Meets Graph Theory

cs.CC · 2026-03-29 · accept · novelty 8.0

Graph theory characterizes BVA reencodings, proving any 2-CNF on n variables can be reduced to roughly 0.396 n²/lg n clauses with minor extra steps and that at-most-one needs at least 3n-6 clauses.

Online Connectivity Augmentation

cs.DS · 2026-06-16 · unverdicted · novelty 6.0

Obtains a tight competitive ratio for the online Connectivity Augmentation Problem, improving prior bounds.

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  • Automated Reencoding Meets Graph Theory cs.CC · 2026-03-29 · accept · none · ref 3

    Graph theory characterizes BVA reencodings, proving any 2-CNF on n variables can be reduced to roughly 0.396 n²/lg n clauses with minor extra steps and that at-most-one needs at least 3n-6 clauses.

  • Optimal Inapproximability of Generalized Linear Equations over a Finite Group cs.CC · 2026-05-11 · unverdicted · none · ref 22 · 2 links

    Gives an approximation algorithm for satisfiable instances of generalized linear equation CSPs over finite groups that is optimal for certain S, while the predicate remains approximation resistant on almost-satisfiable instances.