RowNum -- the row of the diagonal weight matrix to permute

• Usage:

  Lgr = matchingFieldFromPermutation(k, n, S, RowNum => r)

  Lfl = matchingFieldFromPermutation(kList, n, S, RowNum => r)

• Inputs:
  • k, an integer,
  • kList, a list,
  • n, an integer,
  • S, a list, a permutation of $1, \dots, n$
  • r, an integer, an integer at most $k$ or at most $\max(kList)$
• Outputs:
  • Lgr, an instance of the type GrMatchingField,
  • Lfl, an instance of the type FlMatchingField,

i1 : getWeightMatrix matchingFieldFromPermutation(3, 6, {4,5,6,1,2,3}, RowNum => 1)

o1 = | 0  0  0  0  0 0 |
     | 5  4  3  2  1 0 |
     | 30 24 18 12 6 0 |

              3       6
o1 : Matrix ZZ  <-- ZZ

i2 : getWeightMatrix matchingFieldFromPermutation(3, 6, {4,5,6,1,2,3}, RowNum => 2)

o2 = | 0  0  0  0  0 0 |
     | 4  5  6  1  2 3 |
     | 30 24 18 12 6 0 |

              3       6
o2 : Matrix ZZ  <-- ZZ

i3 : getWeightMatrix matchingFieldFromPermutation(3, 6, {4,5,6,1,2,3}, RowNum => 3)

o3 = | 0  0  0  0 0  0  |
     | 5  4  3  2 1  0  |
     | 24 30 36 6 12 18 |

              3       6
o3 : Matrix ZZ  <-- ZZ