Abstract
The stable marriage problem with ties (SMT) is a variant of the stable marriage problem in which people are permitted to express ties in their preference lists. In this paper, an algorithm based on bidirectional searching is presented for trying to find strongly egalitarian and sex-equal stable matchings. We indicate that the use of two simultaneous searches in the algorithm not only accelerate the finding of solutions but also is appropriate for the strong stability criterion of SMT. The algorithm is implemented and tested for large datasets. Experimental results show that our algorithm is significant.
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This research is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 102.01-2017.09.
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Trang, L.H., Viet, H.H., Van Hoai, T., Hao, T.X. (2019). A Searching for Strongly Egalitarian and Sex-Equal Stable Matchings. In: Lee, S., Ismail, R., Choo, H. (eds) Proceedings of the 13th International Conference on Ubiquitous Information Management and Communication (IMCOM) 2019. IMCOM 2019. Advances in Intelligent Systems and Computing, vol 935. Springer, Cham. https://doi.org/10.1007/978-3-030-19063-7_87
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DOI: https://doi.org/10.1007/978-3-030-19063-7_87
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