T. Royer

most citedReconstruction of rational polytopes from the real-parameter Ehrhart function of its translates

3 citations · 6 across the 4 of their papers we have counts for

collaborators

4 papers

math.LO2025

Kolmogorov Complexity of Attractive Degrees

Tiago Royer

This paper proves a Kolmogorov-complexity-flavored sufficient condition for a set to be attractive and discusses some consequences of this condition.

math.CO2017★ 3 cited

Semi-reflexive polytopes

Tiago Royer

The Ehrhart function $L_{P} (t)$ of a polytope $P$ is usually defined only for integer dilation arguments $t$ . By allowing arbitrary real numbers as arguments we may also detect integ…

math.CO2017

Reconstruction of symmetric convex bodies from Ehrhart-like data

Tiago Royer

In a previous paper, we showed how to use the Ehrhart function $L_{P} (s)$ , defined by $L_{P} (s) = # (s P \cap Z^{d})$ , to reconstruct a polytope $P$ . More specifically, we showed…

math.CO2017★ 3 cited

Reconstruction of rational polytopes from the real-parameter Ehrhart function of its translates

Tiago Royer

When extending the Ehrhart lattice point enumerator $L_{P} (t)$ to allow real dilation parameters $t$ , we lose the invariance under integer translations that exists when $t$ is restri…