On some algorithmic aspects of hypergraphic matroids
Combinatorics
2021-11-11 v1 Optimization and Control
Abstract
Hypergraphics matroids were studied first by Lorea and later by Frank et al. They can be seen as generalizations of graphic matroids. Here we show that several algorithms developed for the graphic case can be extended to hypergraphic matroids. We treat the following: the separation problem for the associated polytope, testing independence, separation of partition inequalities, computing the rank of a set, computing the strength, computing the arboricity and network reinforcement.
Cite
@article{arxiv.2111.05699,
title = {On some algorithmic aspects of hypergraphic matroids},
author = {Mourad Baiou and Francisco Barahona},
journal= {arXiv preprint arXiv:2111.05699},
year = {2021}
}