Timm Oertel

activity

20122026

most citedSparse solutions of linear Diophantine equations

34 citations · 49 across the 15 of their papers we have counts for

collaborators

Showing 2022Show all

2 papers · 1 filter

math.CO2022

New Bounds for the Integer Carathéodory Rank

Iskander Aliev, Martin Henk, Mark Hogan +2

Given a rational pointed $n$ -dimensional cone $C$ , we study the integer Carathéodory rank $CR (C)$ and its asymptotic form $C R^{a} (C)$ , where we co…

math.OC2022★ 1 cited

A Colorful Steinitz Lemma with Applications to Block Integer Programs

Timm Oertel, Joseph Paat, Robert Weismantel

The Steinitz constant in dimension $d$ is the smallest value $c (d)$ such that for any norm on $R^{d}$ and for any finite zero-sum sequence in the unit ball, the sequence…