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γ: Computational Queen Domination

Research artifacts for the queen domination problem, organized across separate branches.


Queen Domination by SAT Solving

SAT-based enumeration of minimum dom. sets up to symmetry, with independently verifiable completeness proofs, for boards up to (n=19).

  • v1 (sat-solving): Original SAT encoding with Hilbert-curve literal ordering, symmetry breaking, and Cube-and-Conquer.
  • v2 (gamma-plus, ADAM 2026): Improved line-variable encoding and integrated proof-producing enumeration pipeline.

Hint and Conquer — hint-and-conquer

SAT-based unsatisfiability proofs using counting hints, establishing six new exact queen domination numbers for even boards up to (n=38).

Larger Type E Constructions — upper-bound

Constraint-programming search for Type E dominating sets, producing constructions up to (n=1585) and improved asymptotic upper bounds.


License

Released under the MIT License.

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