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arXiv · 2410.12494

The gold partition conjecture and the Lexicographic sum of posets

Eric R. Dolores-Cuenca·Aldo Guzmán-Sáenz·Sangil Kim
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Abstract

If a finite poset $Q$ satisfies the Gold Partition Conjecture, and $P$ is a finite poset, then for any $i$ in $P$ the lexicographic sum of $P$ with $Q$ on the point $i$, satisfies the Gold Partition Conjecture.

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Eric R. Dolores-Cuenca, Aldo Guzmán-Sáenz, Sangil Kim. 2024-10-16. The gold partition conjecture and the Lexicographic sum of posets. https://arxiv.org/abs/2410.12494

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