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ACMSE
2010
ACM
13 years 2 months ago
Adaptive stable marriage algorithms
Although it takes O(n2 ) worst-case time to solve a stable marriage problem instance with n men and n women, a trivial O(n) algorithm suffices if all men are known to have identic...
John Dabney, Brian C. Dean
ESA
2007
Springer
143views Algorithms» more  ESA 2007»
13 years 11 months ago
Two's Company, Three's a Crowd: Stable Family and Threesome Roommates Problems
We investigate Knuth’s eleventh open question on stable matchings. In the stable family problem, sets of women, men, and dogs are given, all of whom state their preferences among...
Chien-Chung Huang
WAOA
2005
Springer
161views Algorithms» more  WAOA 2005»
13 years 10 months ago
"Almost Stable" Matchings in the Roommates Problem
An instance of the classical Stable Roommates problem (sr) need not admit a stable matching. This motivates the problem of finding a matching that is “as stable as possible”, ...
David J. Abraham, Péter Biró, David ...