The gold partition conjecture and the Lexicographic sum of posets

Eric R. Dolores-Cuenca, Aldo Guzmán-Sáenz, Sangil Kim

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…