Permutation.transpositions() : transpositions() is a sympy Python library function that returns the permutation decomposed into a list of transpositions. It is always possible to express a permutation as the product of transpositions.
Syntax : sympy.combinatorics.permutations.Permutation.transpositions()
Return : permutation decomposed into a list of transpositions
Code #1 : transpositions() Example
# Python code explaining # SymPy.Permutation.transpositions()   # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation   # Using from # sympy.combinatorics.permutations.Permutation.transpositions() method   # creating Permutation a = Permutation([[2, 0], [3, 1]])   b = Permutation([1, 3, 5, 4, 2, 0])     print ("Permutation a - transpositions form : ", a.transpositions()) print ("Permutation b - transpositions form : ", b.transpositions()) |
Output :
Permutation a – transpositions form : [(0, 2), (1, 3)]
Permutation b – transpositions form : [(0, 5), (0, 2), (0, 4), (0, 3), (0, 1)]
Code #2 : transpositions() Example
# Python code explaining # SymPy.Permutation.transpositions()   # importing SymPy libraries from sympy.combinatorics.partitions import Partition from sympy.combinatorics.permutations import Permutation   # Using from # sympy.combinatorics.permutations.Permutation.transpositions() method   # creating Permutation a = Permutation([[2, 4, 0],                  [3, 1, 2],                  [1, 5, 6]])     print ("Permutation a - transpositions form : ", a.transpositions()) |
Output :
Permutation a – transpositions form : [(0, 4), (0, 2), (0, 1), (0, 6), (0, 5), (0, 3)]
