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Posets :: flaghPolynomial

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

Synopsis

Description

Suppose f is the flagfPolynomial of P. The flag-h polynomial of P is the polynomial (1-q0)…(1-qr)f(q0/(1-q0), ..., qr/(1-qr)).

i1 : flaghPolynomial booleanLattice 3

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

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

The flag-h polynomial of the n chain is 1.

i2 : flaghPolynomial chain 5

o2 = 1

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

See also

Ways to use flaghPolynomial :