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
# Python code explaining # SymPy.Permutation.cycle_structure() # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation # Using from # sympy.combinatorics.permutations.Permutation.cycle_structure() method # creating 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) |
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
# Python code explaining # SymPy.Permutation.cycle_structure() # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation # Using from # sympy.combinatorics.permutations.Permutation.cycle_structure() method # creating Permutation a = Permutation([[2, 4, 0], [3, 1, 2], [1, 5, 6]]) # SELF COMMUTATING print ("Permutation a - cycle_structure form : ", a.cycle_structure) |
Output :
Permutation a – cycle_structure form : {7: 1}
