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FKT algorithm

The Fisher–Kasteleyn–Temperley (FKT) algorithm, named after Michael Fisher, Pieter Kasteleyn, and Neville Temperley, counts the number of perfect matchings in a planar graph in polynomial time. This same task is #P-complete for general graphs. For matchings that are not required to be perfect, counting them remains #P-complete even for planar graphs. The…

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Algorithm

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FKT algorithm

Nodes51
Edges50
Triples13
Avg. degree1.96
Density0.039216
Components1

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FKT algorithm

Top relations

related to Explanation · 6
FKT algorithm → Define PM, Let, Pfaffian, The, The FKT, Thus
has application · 5
FKT algorithm → For, NAE, PL-3-NAE-SAT, The FKT, Valiant

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Important terminology

planar graph pfaffian matchings perfect orientation graphs number matrix counting algorithm problem fkt p-complete embedding edge adjacency also kasteleyn determinant

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
this oneinstance offor a counting problem0.80text
should correspond toinstance offor a counting problem0.80text
FKT algorithmhas applicationThe FKT0.60section
FKT algorithmhas applicationFor0.60section
FKT algorithmhas applicationPL-3-NAE-SAT0.60section
FKT algorithmhas applicationNAE0.60section
FKT algorithmhas applicationValiant0.60section
FKT algorithmrelated to ExplanationThe0.60section
FKT algorithmrelated to ExplanationPfaffian0.60section
FKT algorithmrelated to ExplanationThus0.60section
FKT algorithmrelated to ExplanationThe FKT0.60section
FKT algorithmrelated to ExplanationLet0.60section

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