5 papers
Benchmarks in Leipzig
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the t…
On Lattice Diameter Segments: Algorithms and Structure
Gennadiy Averkov, Anouk E. Brose, Jesús A. De Loera +2
The lattice diameter of a bounded set counts the maximal number of lattice points in a segment whose endpoints are lattice points in . Such a segment is…
Semigroups of Integer Points in Convex Cones
Grigoriy Blekherman, Jesús A. De Loera, Luze Xu +1
We study the question whether the affine semigroup of integer points in a convex cone can be finitely generated up to symmetries of the cone. We establish general properties of fin…
Optimization Tools for Computing Colorings of with Few Monochromatic Solutions on -variable Linear Equations
Jesús A. De Loera, Denae Ventura, Liuyue Wang +1
A famous result in arithmetic Ramsey theory says that for many linear homogeneous equations there is a threshold value (the Rado number of ) such that for any -c…
Counting Integer flows in Networks
W. Baldoni-Silva, J. A. De Loera, M. Vergne
This paper discusses new analytic algorithms and software for the enumeration of all integer flows inside a network. Concrete applications abound in graph theory \cite{Jaeger}, rep…