Preserving the Basic Property of Stable Matching by Deleting a pair
  This paper describes the transition of a male-pessimal matching set to optimal when it is a man-oriented approach by deleting a pair from matching set considering the score based approach. A descriptive explanation of the proposed algorithm both in a sequential and parallel manner is given. The comparison based theoretical analysis shows that the best case of the algorithm is lower bound of n3. 
Ekta Gupta, Kalyani and Nitin
cs.DS