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Planar SAT

In computer science, the planar 3-satisfiability problem (abbreviated PLANAR 3SAT or PL3SAT) is an extension of the classical Boolean 3-satisfiability problem to a planar incidence graph. In other words, it asks whether the variables of a given Boolean formula—whose incidence graph consisting of variables and clauses can be embedded on a plane—can be…

Science, Reductions & Variants and related problems

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FillominoNurikabeShakashakaTatamibariTentai Show
12 related topics

Variants and related problems

CycleDynamic programming1-in-3SATMaximum cutCircuit SAT
6 related topics

Definition

Edge coloringsIf and only ifBooleanFormula
4 related topics

Proof of NP-completeness

NPNP-hardBipartite
3 related topics

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Proof of NP-completeness

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Planar SAT

Nodes43
Edges42
Triples20
Avg. degree1.95
Density0.046512
Components1

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Planar SAT

Top relations

related to Logic puzzles · 14
Planar SAT → AND, Boolean, Examples, Fillomino, NOT, NP-completeness, Nurikabe, OR, Reduction, Shakashaka, Since, Tatamibari, Tentai Show, These
related to Minimum edge-length partition · 5
Planar SAT → But, NP-hard, The, This, When
is a · 1
Planar SAT → commonly used method in NP-completeness proofs of logic puzzles

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Important terminology

planar 3sat problem graph formula np-complete clauses variables clause variable incidence false boolean edge reduction rectilinear satisfiable equivalent np-hard 1-in-3sat

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Planar SATis acommonly used method in NP-completeness proofs of logic puzzles0.90text
Planar SATrelated to Logic puzzlesReduction0.60section
Planar SATrelated to Logic puzzlesNP-completeness0.60section
Planar SATrelated to Logic puzzlesExamples0.60section
Planar SATrelated to Logic puzzlesFillomino0.60section
Planar SATrelated to Logic puzzlesNurikabe0.60section
Planar SATrelated to Logic puzzlesShakashaka0.60section
Planar SATrelated to Logic puzzlesTatamibari0.60section
Planar SATrelated to Logic puzzlesTentai Show0.60section
Planar SATrelated to Logic puzzlesThese0.60section
Planar SATrelated to Logic puzzlesBoolean0.60section
Planar SATrelated to Logic puzzlesNOT0.60section

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