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Real-rootedness and interlacing for parking functions and Chow polynomials

Alexandersson, Per
arXiv (OAI Expanded) · Papers
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05a15combinatorics
We prove real-rootedness for the Chow polynomials of the noncrossing partition lattices by transferring tieless parking functions to finite-alphabet Smirnov words and applying an interlacing-preserving transition of M.~Leander. We also derive a triangular recurrence for peaks and ties and identify t
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