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math.CO2024
The gold partition conjecture and the Lexicographic sum of posets
Eric R. Dolores-Cuenca, Aldo Guzmán-Sáenz, Sangil Kim
We prove that if a finite poset satisfies the Gold Partition Conjecture, and is a finite poset, then for any the lexicographic sum of with on t…
math.CO2024
Operad of posets 101: The Wixárika posets
José Antonio Arciniega-Nevárez, Marko Berghoff, Eric Rubiel Dolores-Cuenca
We study classes of objects whose combinatorics are closely related to those of posets. The framework of operads and operad algebras allows us to make this relationship precise and…