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math.CO2026
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…
math.CO2025
Shuffle series
Khushdil Ahmad, Eric Rubiel Dolores-Cuenca, Khurram Shabbir
We apply operad theory to enumerative combinatorics in order to count the number of shuffles between series-parallel posets and chains. We work with three types of shuffles, two of…
math.CO2024
The gold partition conjecture and the Lexicographic sum of posets
Eric R. Dolores-Cuenca, Aldo Guzmán-Sáenz, Sangil Kim
If a finite poset satisfies the Gold Partition Conjecture, and is a finite poset, then for any in the lexicographic sum of with on the point , satisfies…