On a class of strong valid inequalities for the connected matching polytope

Phillippe Samer

On a class of strong valid inequalities for the connected matching polytope

Combinatorics 2023-10-24 v2 Discrete Mathematics

Authors: Phillippe Samer

Abstract

We identify a family of $O(|E(G)|^2)$ nontrivial facets of the connected matching polytope of a graph $G$ , that is, the convex hull of incidence vectors of matchings in $G$ whose covered vertices induce a connected subgraph. Accompanying software to further inspect the polytope of an input graph is available.

Keywords

connected matching polytope valid inequality graph facet incidence vector convex hull matchings

Cite

@article{arxiv.2309.14019,
  title  = {On a class of strong valid inequalities for the connected matching polytope},
  author = {Phillippe Samer},
  journal= {arXiv preprint arXiv:2309.14019},
  year   = {2023}
}

Comments

8 pages, 1 figure. Submitted for publication

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