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math.CO2026
Sylvester simplices: Triangulations and Ehrhart-theoretic aspects
Jhon B. Caicedo, Federico Castillo, Martina Juhnke +1
The Sylvester simplex is a -dimensional lattice simplex with exactly interior lattice points. Sylvester simplices are conjectured to be the volume maximi…
math.CO2026
Hamiltonicity of graphs of acyclic orientations and acyclic polynomials
Leonie Mühlherr, Germain Poullot
We study the graph of acyclic orientations of a graph . Two acyclic orientations are adjacent in this graph if they disagree on the orientation of a single arc…
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 .…