5 papers
Flows on graphs with cycles, locally gentle algebras, and the Mutoperhedron
Antoine Abram, Jose Bastidas, Benjamin Dequêne +3
Flow cones of a directed acyclic graph admit a family of unimodular triangulations given by Danilov, Karzanov, and Koshevoy (DKK) whose normal fans are related to (generalizations)…
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…
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…
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…
Power Quotients of Plactic-like Monoids
Antoine Abram, Florent Hivert, James D. Mitchell +2
In this paper we describe the quotients of several plactic-like monoids by the least congruences containing the relations with for every generator . T…