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math.CO2022
Lattices in and spiral shifting operators
Yifeng Huang, Ruofan Jiang
We investigate the algebra and combinatorics of an analogue of the Hermite normal form that classifies finite-index submodules of . We identity both normal form…
math.CO2021★ 12 cited
Extensions of the Kahn--Saks inequality for posets of width two
Swee Hong Chan, Igor Pak, Greta Panova
The Kahn--Saks inequality is a classical result on the number of linear extensions of finite posets. We give a new proof of this inequality for posets of width two using explicit i…