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math.CO2025
Ornamentation lattices and intreeval hypergraphic lattices
Antoine Abram, Jose Bastidas, Félix Gélinas +2
Given a directed graph with transitive closure and path hypergraph , we study the connections between the (acyclic) reorientation poset of…
math.CO2025
Dimension of unicycle posets
Antoine Abram, Adrien Segovia
Motivated by the study of the dimension of random posets, it was conjectured by Bollobás and Brightwell in 1997 that if is a finite poset whose cover graph contains at most one…
math.CO2025
The -polynomials of type C hypersimplices
Antoine Abram, Jose Bastidas
We study the Ehrhart theory of hypersimplices of type C, as introduced by Lam and Postnikov for general crystallographic root systems. The -polynomials of classical hypersimpl…