Francisco Criado

most citedThe algorithmic Fried Potato Problem in two dimensions

2 citations · 2 across the 4 of their papers we have counts for

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math.CO2026

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…

math.CO2025

Covering radii of $3$ -zonotopes and the shifted Lonely Runner Conjecture

David Alcántara, Francisco Criado, Francisco Santos

We show that the shifted Lonely Runner Conjecture (sLRC) holds for 5 runners. We also determine that there are exactly 3 primitive tight instances of the conjecture, only two of wh…

math.CO2025

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 ${x y = n}$ has between $Ω (n^{1/3})$ and $O (n^{1/3} lo g n)$ vertices.…

Coloopless zonotopes and counterexamples to the Shifted Lonely Runner Conjecture

Covering radii of 3-zonotopes and the shifted Lonely Runner Conjecture

On the convex hull of integer points above the hyperbola

Covering radii of $3$ -zonotopes and the shifted Lonely Runner Conjecture