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

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.

8 pages, 1 figure. Submitted for publication

Cited by in corpus (1)

• Polyhedral approach to weighted connected matchings in general graphs