Further Investigations Involving Rook Polynomials With Only Real Zeros

@article{Haglund2000FurtherII,
  title={Further Investigations Involving Rook Polynomials With Only Real Zeros},
  author={James Haglund},
  journal={Eur. J. Comb.},
  year={2000},
  volume={21},
  pages={1017-1037}
}
We study the zeros of two families of polynomials related to rook theory and matchings in graphs. One of these families is based on the cover polynomial of a digraph introduced by Chung and Graham [ChGr]. Another involves a version of the \hit polynomial" of rook theory, but which applies to weighted matchings in (non-bipartite) graphs. For both of these families we prove a result which is analogous to a theorem of of the author, K. Ono, and D. G. Wagner, namely that for Ferrers boards the hit… CONTINUE READING

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