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math.CO2026
Interval hypergraphic polytopes (or deformed associahedra), Tamari interval posets, and weeping willows
Jose Bastidas, Félix Gélinas, Vincent Pilaud +3
For a hypergraph on , the hypergraphic polytope is the Minkowski sum of the standard simplices for all .…
math.CO2026
Lattice characterization of cyclic interval hypergraphic posets
Félix Gélinas, Yirong Yang
Hypergraphic polytopes arise as Minkowski sums of simplices indexed by the hyperedges of a hypergraph . Orienting the -skeleton of such a polytope b…
math.CO2025
Source characterization of the hypergraphic posets
Félix Gélinas
For a hypergraph on , the hypergraphic poset is the transitive closure of the oriented -skeleton of the hypergraphic polytope . In…
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…