flaghPolynomial -- computes the flag-h polynomial of a ranked poset

Synopsis

• Usage:

  fh = flaghPolynomial P

  fh = flaghPolynomial(P, VariableName => symbol)

• Inputs:
  • P, an instance of the type Poset, a ranked poset
• Optional inputs:
  • VariableName => a symbol
• Outputs:
  • fh, a ring element, the flag-h polynomial of P

Description

i1 : flaghPolynomial booleanLattice 3

o1 = q q  + 2q  + 2q  + 1
      1 2     1     2

o1 : ZZ[q , q , q , q ]
         0   1   2   3

i2 : flaghPolynomial chain 5

o2 = 1

o2 : ZZ[q , q , q , q , q ]
         0   1   2   3   4

See also

• flagChains -- computes the maximal chains in a list of flags of a ranked poset
• flagfPolynomial -- computes the flag-f polynomial of a ranked poset
• isRanked -- determines if a poset is ranked