English

Extended Formulations for Polytopes of Regular Matroids

Discrete Mathematics 2017-02-08 v2 Combinatorics

Abstract

We present a simple proof of the fact that the base (and independence) polytope of a rank nn regular matroid over mm elements has an extension complexity O(mn)O(mn).

Cite

@article{arxiv.1701.00538,
  title  = {Extended Formulations for Polytopes of Regular Matroids},
  author = {Rohit Gurjar and Nisheeth K. Vishnoi},
  journal= {arXiv preprint arXiv:1701.00538},
  year   = {2017}
}

Comments

This paper has been withdrawn as there is an error in the proof of the main result. In particular, Claim 2.2 is not correct

R2 v1 2026-06-22T17:39:35.050Z