# Strongly Stable Matchings under Matroid Constraints

@article{Kamiyama2022StronglySM, title={Strongly Stable Matchings under Matroid Constraints}, author={Naoyuki Kamiyama}, journal={ArXiv}, year={2022}, volume={abs/2208.11272} }

We consider a many-to-one variant of the stable matching problem. More concretely, we consider the variant of the stable matching problem where one side has a matroid constraint. Furthermore, we consider the situation where the preference of each agent may contain ties. In this setting, we consider the problem of checking the existence of a strongly stable matching, and ﬁnding a strongly stable matching if a strongly stable matching exists. We propose a polynomial-time algorithm for this…

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