Minimizing the Number of Unhappy Singles: An Improved Approximation Algorithm for the Stable Marriage Problem With One-sided Ties

by Dr Chien-Chung Huang (Chalmers University, Sweden)

Friday 13 Jun 2014, 11:30 → 12:30 Asia/Kolkata

AG-80 (Colaba Campus)

We consider the problem of computing a large stable matching in a bipartite graph G = (A U B, E) where each vertex ranks its neighbors in an order of preference, perhaps involving ties.The goal is to compute a large stable matching. It is known that computing a maximum size stable matching is APX-hard. We present an improved approximation algorithm for the case when ties are present only in the preference lists of vertices in B. This case is also APX-hard and the current best approximation ratio known here is 25/17, we show a simple linear time algorithm that achieves an approximation ratio of 22/15.