Stable Matching

Structure in Stable Matching Problems

In this thesis we provide two contributions to the study of structure in stable matching problems. The first contribution is a short new proof for the integrality of Rothblum’s linear description of the convex hull of incidence vectors of stable …

An Elementary Integrality Proof of Rothblums Stable Matching Formulation

In this paper we provide a short new proof for the integrality of Rothblum’s linear description of the convex hull of incidence vectors of stable matchings in bipartite graphs. In the spirit of iterative rounding proofs, the key feature of our proof …