20 citations · 41 across the 6 of their papers we have counts for
7 papers
Coloopless zonotopes and counterexamples to the Shifted Lonely Runner Conjecture
Mónica Blanco, Francisco Criado, Francisco Santos
Henze and Malikiosis (2017) have shown that the Lonely Runner Conjecture (LRC) can be restated as a convex-geometric question on the so-called LR zonotopes, lattice zonotopes with…
On the convex hull of integer points above the hyperbola
David Alcántara, Mónica Blanco, Francisco Criado +1
We show that the polyhedron defined as the convex hull of the lattice points above the hyperbola has between and vertices.…
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…
The Finiteness Threshold Width of Lattice Polytopes
Mónica Blanco, Christian Haase, Jan Hofmann +1
We prove that in each dimension there is a constant such that for every all but finitely many -polytopes with lattice point…
Enumeration of lattice 3-polytopes by their number of lattice points
Mónica Blanco, Francisco Santos
We develop a procedure for the complete computational enumeration of lattice -polytopes of width larger than one, up to any given number of lattice points. We also implement an…
Lattice 3-polytopes with six lattice points
Mónica Blanco, Francisco Santos
We classify lattice -polytopes of width larger than one and with exactly lattice points. We show that there are polytopes of width , two polytopes of width , and…