Python | SymPy Permutation.cycle_structure() method
Permutation.cycle_structure() : cycle_structure() is a sympy Python library function that returns the cycle structure of the permutation as a dictionary and this will indicate the multiplicity of each cycle length.
Syntax :
sympy.combinatorics.permutations.Permutation.cycle_structure()
Return :
cycle structure of the permutation as a dictionary
Code #1 : cycle_structure() Example
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
a = Permutation([ 2 , 0 , 3 , 1 , 5 , 4 ])
b = Permutation([ 3 , 1 , 2 , 5 , 4 , 0 ])
print ( "Permutation a - cycle_structure form : " , a.cycle_structure)
print ( "Permutation b - cycle_structure form : " , b.cycle_structure)
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Output :
Permutation a – cycle_structure form : {2: 1, 4: 1}
Permutation b – cycle_structure form : {1: 3, 3: 1}
Code #2 : cycle_structure() Example – 2D Permutation
from sympy.combinatorics.partitions import Partition
from sympy.combinatorics.permutations import Permutation
a = Permutation([[ 2 , 4 , 0 ],
[ 3 , 1 , 2 ],
[ 1 , 5 , 6 ]])
print ( "Permutation a - cycle_structure form : " , a.cycle_structure)
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Output :
Permutation a – cycle_structure form : {7: 1}
Last Updated :
27 Aug, 2019
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