what improvements are there regarding gale shapley algorithm and integer programming for solving the problem?

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in this presentation the problem two sided matching has to be discussed and the following points have to be addressed:
1. where is the topic currently being researched? and what research activity is there currently?
2. what improvements are there regarding gale shapley algorithm and integer programming for solving the problem?
3. which algorithms can be even better for two-sided matching than the algorithms mentioned?
4. Advantages and disadvantages of gale shapley algorithm and integer programming in r

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