A number of stable matchings in models of the Gale-Shapley type

作者:Drgas Burchardt Ewa*; Switalski Zbigniew
来源:Discrete Applied Mathematics, 2013, 161(18): 2932-2936.
DOI:10.1016/j.dam.2013.06.031

摘要

We give some upper bounds on the maximum number of stable matchings in the Gale-Shapley marriage model with n men and n women. We also characterize, with the use of some graph-theoretical notions, the exact number of such matchings, assuming that the preferences of men and women are given.

  • 出版日期2013-12