# Efficient algorithms for generalized Stable Marriage and Roommates problems

@article{Fleiner2007EfficientAF, title={Efficient algorithms for generalized Stable Marriage and Roommates problems}, author={T. Fleiner and R. Irving and D. Manlove}, journal={Theor. Comput. Sci.}, year={2007}, volume={381}, pages={162-176} }

We consider a generalization of the Stable Roommates problem (sr), in which preference lists may be partially ordered and forbidden pairs may be present, denoted by srpf. This includes, as a special case, a corresponding generalization of the classical Stable Marriage problem (sm), denoted by smpf. By extending previous work of Feder, we give a two-step reduction from srpf to 2-sat. This has many consequences, including fast algorithms for a range of problems associated with finding ''optimal… CONTINUE READING

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