The Fisher–Kasteleyn–Temperley (FKT) algorithm, named after Michael Fisher, Pieter Kasteleyn, and Neville Temperley, counts the number of perfect matchings...

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...

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)...

generation algorithm Ant colony algorithm Breadth-first search Depth-first search Depth-limited search FKT algorithm Flood fill Graph exploration algorithm Matching...

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)...

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...

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...

latter problem is tractable by the FKT algorithm, which dates to the 1960s. Soon after, Valiant found holographic algorithms with reductions to matchgates...

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...

planar graphs, but not for certain other graphs. They are used in the FKT algorithm for counting perfect matchings. Connex relation Diestel, Reinhard (2005)...