The Fisher–Kasteleyn–Temperley (FKT) algorithm, named after Michael Fisher, Pieter Kasteleyn, and Neville Temperley, counts the number of perfect matchings...
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FKT may refer to: Falkland Islands Time Fastest known time, to complete a route FKT algorithm, in graph theory FK Tønsberg, a Norwegian football club...
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in a planar graph can be computed exactly in polynomial time via the FKT algorithm. The number of perfect matchings in a complete graph Kn (with n even)...
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List of graph theory topics (section Algorithms)
generation algorithm Ant colony algorithm Breadth-first search Depth-first search Depth-limited search FKT algorithm Flood fill Graph exploration algorithm Matching...
7 KB (664 words) - 12:10, 30 October 2023
in a planar graph can be computed exactly in polynomial time via the FKT algorithm. The number of perfect matchings in a complete graph Kn (with n even)...
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the perfect matchings of the graph. This is the main idea behind the FKT algorithm for counting perfect matchings in planar graphs, which always have Pfaffian...
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is given by a Pfaffian, hence is polynomial time computable via the FKT algorithm. This is surprising given that for general graphs, the problem is very...
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latter problem is tractable by the FKT algorithm, which dates to the 1960s. Soon after, Valiant found holographic algorithms with reductions to matchgates...
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Tutte polynomial (section Algorithms)
H_{2}} , can be expressed as a Pfaffian and computed efficiently via the FKT algorithm. This idea was developed by Fisher, Kasteleyn, and Temperley to compute...
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planar graphs, but not for certain other graphs. They are used in the FKT algorithm for counting perfect matchings. Connex relation Diestel, Reinhard (2005)...
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