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}
}
  • T. Fleiner, R. Irving, D. Manlove
  • Published 2007
  • Mathematics, Computer Science
  • Theor. Comput. Sci.
  • 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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