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ESA
2003
Springer
140views Algorithms» more  ESA 2003»
13 years 9 months ago
Improved Approximation of the Stable Marriage Problem
The stable marriage problem has recently been studied in its general setting, where both ties and incomplete lists are allowed. It is NP-hard to find a stable matching of maximum ...
Magnús M. Halldórsson, Kazuo Iwama, ...
WADS
2007
Springer
195views Algorithms» more  WADS 2007»
13 years 10 months ago
Approximation Algorithms for the Sex-Equal Stable Marriage Problem
The stable marriage problem is a classical matching problem introduced by Gale and Shapley. It is known that for any instance, there exists a solution, and there is a polynomial ti...
Kazuo Iwama, Shuichi Miyazaki, Hiroki Yanagisawa
ESA
2007
Springer
143views Algorithms» more  ESA 2007»
13 years 10 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
ICDCS
2009
IEEE
14 years 1 months ago
A Note on Distributed Stable Matching
We consider the distributed complexity of the stable marriage problem. In this problem, the communication graph is undirected and bipartite, and each node ranks its neighbors. Giv...
Alex Kipnis, Boaz Patt-Shamir