Chain polynomials of distributive lattices are 75% unimodal

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Abstract

It is shown that the numbers ci of chains of length i in the proper part L \ {0,1} of a distributive lattice L of length ℓ + 2 satisfy the inequalities C0 < ...... > cℓ. This proves 75% of the inequalities implied by the Neggers unimodality conjecture.

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APA

Björner, A., & Farley, J. D. (2005). Chain polynomials of distributive lattices are 75% unimodal. Electronic Journal of Combinatorics, 12(1 N), 1–7. https://doi.org/10.37236/1971

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