2 citations · 2 across the 13 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…
A poset version of Ramanujan results on Eulerian numbers and zeta values
Eric Dolores-Cuenca, Jose L. Mendoza-Cortes
We explore the operad of finite posets and its algebras. We use order polytopes to investigate the combinatorial properties of zeta values. By generalizing a family of zeta value i…
An algebra over the operad of posets and structural binomial identities
Jose Antonio Arciniega-Nevarez, Marko Berghoff, Eric Dolores-Cuenca
We study generating functions of strict and non-strict order polynomials of series-parallel posets, called order series. These order series are closely related to Ehrhart series an…
Polychrony as Chinampas
Eric Dolores-Cuenca, Jose Antonio Arciniega-Nevarez, Anh Nguyen +5
In this paper, we study the flow of signals through linear paths with the nonlinear condition that a node emits a signal when it receives external stimuli or when two incoming sign…