## DIMACS TR: 94-25

## On Garsia-Remmel Problem of Rook Equivalence

### Authors: Kequan Ding and Paul Terwilliger

**
ABSTRACT
**

In 1986, Garsia and Remmel proved a theorem that two Ferrers boards
share the same rook polynomial if and only if they share all the
Garsia- Remmel $q$-rook polynomials. In their paper they proposed the
problem to find a purely combinatorial proof to this theorem. This
note gives such a proof.

Paper available at:
ftp://dimacs.rutgers.edu/pub/dimacs/TechnicalReports/TechReports/1994/94-25.ps

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