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Discussion 1 1. Prove that every execution of the G-S algorithm (when men are proposing) results in the same stable matching regardless of the order in which men propose. 2. Prove that when we run the G-S algorithm with men proposing, women end up with their worst valid partners. 3. True or False: In every stable matching that Gale–Shapley algorithm may end up with when men propose, there is a man who is matched to his highest-ranked woman. 4. In a connected bipartite graph, is the bipartition unique? Justify your


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USC CSCI 570 - Discussion 1

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