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[Rule] PLANAR 3SAT to GEOMETRIC CONNECTED DOMINATING SET #377

@isPANN

Description

@isPANN

Source: PLANAR 3SAT
Target: GEOMETRIC CONNECTED DOMINATING SET
Motivation: Skipped — source problem Planar 3-SAT is a specialization of 3-SAT (variable-clause incidence graph must be planar). Implement general 3-SAT reductions first.
Reference: Garey & Johnson, Computers and Intractability, ND48, p.219

Specialization Note

  • Planar 3-SAT restricts 3-SAT to instances whose variable-clause incidence bipartite graph is planar.
  • 3-SAT is implemented in the codebase as KSatisfiability (k=3) at src/models/formula/ksat.rs.
  • Planar 3-SAT does not yet have a dedicated model — it would require planarity enforcement on the incidence graph.
  • Blocked on: Planar 3-SAT model implementation.

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    ruleA new reduction rule to be added.

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