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» Impossibilities for roommate problems
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MSS
2010
IEEE
107views Hardware» more  MSS 2010»
13 years 6 months ago
Impossibilities for roommate problems
Ipek Özkal-Sanver
DAM
2007
103views more  DAM 2007»
13 years 7 months ago
The stable fixtures problem - A many-to-many extension of stable roommates
We study a many-to-many generalisation of the well-known stable roommates problem in which each participant seeks to be matched with a number of others. We present a linear-time a...
Robert W. Irving, Sandy Scott
IPL
2007
143views more  IPL 2007»
13 years 7 months ago
The cycle roommates problem: a hard case of kidney exchange
Recently, a number of interesting algorithmic problems have arisen from the emergence, in a number of countries, of kidney exchange schemes, whereby live donors are matched with r...
Robert W. Irving
ESA
2007
Springer
143views Algorithms» more  ESA 2007»
14 years 1 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»
14 years 1 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 ...