activity
19972026
most citedA polynomial oracle-time algorithm for convex integer minimization

65 citations · 259 across the 46 of their papers we have counts for

collaborators

57 papers

math.OC2026

Quadratic Degree Sequence Optimization and the Critical Roots of a Graph

Frédéric Meunier, Shmuel Onn

The degree sequence optimization problem is to find a subgraph of a given graph which maximizes the sum over all vertices of a given function evaluated at the subgraph degree of th…

math.OC2024

Circuit and Graver Walks and Linear and Integer Programming

Shmuel Onn

We show that a circuit walk from a given feasible point of a given linear program to an optimal point can be computed in polynomial time using only linear algebra operations and th…

math.CO2024

Degree Sequence Optimization and Extremal Degree Enumerators

Shmuel Onn

The degree sequence optimization problem is to find a subgraph of a given graph which maximizes the sum of given functions evaluated at the subgraph degrees. Here we study this pro…

math.CO2023

On Supmodular Matrices

Shmuel Onn

We consider the problem of determining which matrices are permutable to be supmodular. We show that for small dimensions any matrix is permutable by a universal permutation or by a…

math.MG2023★ 2 cited

Kissing polytopes

Antoine Deza, Shmuel Onn, Sebastian Pokutta +1

We investigate the following question: how close can two disjoint lattice polytopes contained in a fixed hypercube be? This question stems from various contexts where the minimal d…

math.CO2023

Degree Sequence Optimization in Bounded Treewidth

Shmuel Onn

We consider the problem of finding a subgraph of a given graph which minimizes the sum of given functions at vertices evaluated at their subgraph degrees. While the problem is NP-h…