Almost Stable Marriage Problem (Stable Matching Problem)
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Description
The task in the Almost Stable Marriage Problem is to find a matching that minimises the number of unstable edges, but the matching does not have to be a maximum matching.
Related Problems
Generalizations: Stable Marriage Problem
Related: Stable Roommates Problem, Boolean d-Attribute Stable Matching, Stable Matching Verification, Stable Pair Checking
Parameters
$n$: number of men and number of women
Table of Algorithms
| Name | Year | Time | Space | Approximation Factor | Model | Reference |
|---|---|---|---|---|---|---|
| Valentin Polishchuk, and Jukka Suomela | 2008 | $O({1})$ | $O({1})$ | 2 + \epsilon | Parallel | Time |