A polynomial-size extended formulation for the multilinear polytope of beta-acyclic hypergraphs
Combinatorics
2023-08-30 v2 Optimization and Control
Abstract
We consider the multilinear polytope defined as the convex hull of the set of binary points satisfying a collection of multilinear equations. The complexity of the facial structure of the multilinear polytope is closely related to the acyclicity degree of the underlying hypergraph. We obtain a polynomial-size extended formulation for the multilinear polytope of beta-acyclic hypergraphs, hence characterizing the acyclic hypergraphs for which such a formulation can be constructed.
Keywords
Cite
@article{arxiv.2212.11239,
title = {A polynomial-size extended formulation for the multilinear polytope of beta-acyclic hypergraphs},
author = {Alberto Del Pia and Aida Khajavirad},
journal= {arXiv preprint arXiv:2212.11239},
year = {2023}
}