Worst Case Scenario For Stable Matching Algorithm Visualized - A stable matching is a perfect matching with no blocking pairs. To see that gs returns a perfect matching, observe that we terminate when there are no free hospitals. As the algorithm proceeds, it gives men opportunities to propose to women and gives women. Stable matchings do not always exist for stable roommate problem. Letโs look at another man/woman matching problem with an equal number of men and women. The set up is that each person has preferences about who they would like to marry: Find such an input and explain why no stable matching exists. In layman terms, a matching is stable if no divorce happens. Then a pseudo code to check the stability of an arbitrary mu would be: If mu(w) in [men who are in w's preference. Though it has already been experimentally proved that the chances of having a worst case scenario for stable matching is extremely low, but occurrence of it. Therefore the worst case scenario for the stable marriage algorithm is: The sum of the worst case number of days where a man gets rejected and the one day where no man. My intuition is that i have to use contradiction. In worst case scenario, lets see number of days and number of proposals, the algorithm will take to find stable matching. Stable matching is a perfect matching with no unstable pairs.
A stable matching is a perfect matching with no blocking pairs. To see that gs returns a perfect matching, observe that we terminate when there are no free hospitals. As the algorithm proceeds, it gives men opportunities to propose to women and gives women. Stable matchings do not always exist for stable roommate problem. Letโs look at another man/woman matching problem with an equal number of men and women. The set up is that each person has preferences about who they would like to marry: Find such an input and explain why no stable matching exists. In layman terms, a matching is stable if no divorce happens. Then a pseudo code to check the stability of an arbitrary mu would be: If mu(w) in [men who are in w's preference. Though it has already been experimentally proved that the chances of having a worst case scenario for stable matching is extremely low, but occurrence of it.