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4 papers · 2 filters
Non-spanning lattice 3-polytopes
Mónica Blanco, Francisco Santos
We completely classify non-spanning -polytopes, by which we mean lattice -polytopes whose lattice points do not affinely span the lattice. We show that, except for six small…
Quotientopes
Vincent Pilaud, Francisco Santos
For any lattice congruence of the weak order on , N. Reading proved that glueing together the cones of the braid fan that belong to the same congruence class define…
The EKR property for flag pure simplicial complexes without boundary
Jorge Olarte, Francisco Santos, Jonathan Spreer +1
We prove that the family of facets of a pure simplicial complex of dimension up to three satisfies the Erdős-Ko-Rado property whenever it is flag and has no boundary ridges. We con…
Classification of empty lattice -simplices of width larger than two
Óscar Iglesias Valiño, Francisco Santos
A lattice -simplex is the convex hull of affinely independent integer points in . It is called empty if it contains no lattice point apart of its vert…