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standardRookPolynomial -- Standard rook polynomial of a collection of cells

Description

This function computes the standard rook polynomial of a collection of cells $\mathcal{P}$. The polynomial encodes the number of standard non-attacking rook configurations of each size.

i1 : Q = cellCollection {{1,1},{1,2},{2,1},{3,1},{3,2}};
i2 : standardRookPolynomial Q

       2
o2 = 4t  + 5t + 1

o2 : ZZ[t]

See also

Ways to use standardRookPolynomial:

  • standardRookPolynomial(CollectionOfCells)

For the programmer

The object standardRookPolynomial is a method function with options.


The source of this document is in PolyominoIdeals.m2:1543:0.