English

The Unimodular Intersection Problem

Optimization and Control 2015-10-05 v3 Discrete Mathematics Data Structures and Algorithms Combinatorics

Abstract

We show that finding minimally intersecting nn paths from ss to tt in a directed graph or nn perfect matchings in a bipartite graph can be done in polynomial time. This holds more generally for unimodular set systems.

Keywords

Cite

@article{arxiv.1502.04301,
  title  = {The Unimodular Intersection Problem},
  author = {Volker Kaibel and Shmuel Onn and Pauline Sarrabezolles},
  journal= {arXiv preprint arXiv:1502.04301},
  year   = {2015}
}
R2 v1 2026-06-22T08:29:51.925Z