Almazaydeh, A., Behrisch, M., Vargas-García, E., & Wachtel, A. (2024). Arrow relations in lattices of integer partitions. International Journal of Approximate Reasoning, 172, Article 109244. https://doi.org/10.1016/j.ijar.2024.109244
We give a complete characterisation of the single and double arrow relations of the standard context 𝕂(𝓛ₙ) of the lattice 𝓛ₙ of partitions of any positive integer 𝑛 under the dominance order, thereby addressing an open question of Ganter, 2020/2022.
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Project (external):
Asociación Mexicana de Cultura A.C.
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Research Areas:
Mathematical and Algorithmic Foundations: 5% Fundamental Mathematics Research: 95%
