The relaxation of a two-dimensional labyrinth pattern of magnetic domain st
ructure in a uniaxial garnet thin film is studied. The usually observed dom
ains of the labyrinth structure contain many defects. The labyrinth structu
re changes to a parallel-stripe structure under magnetic field cycles. In t
his evolution, defects of the domain pattern disappear. We have introduced
a number of magnetic domain junctions as characteristic values of a domain
pattern. A magnetic domain junction is defined as a point where magnetic do
mains in the same direction intersect like a three-forked road. This is one
type of defect in the domain pattern. It is found that the number of junct
ions decreases with the power law as a function of the number of ac magneti
c field cycles.