Almost Stable Marriage Problem: Difference between revisions
Jump to navigation
Jump to search
(Created page with "{{DISPLAYTITLE:Almost Stable Marriage Problem (Stable Matching Problem)}} == 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...") |
No edit summary |
||
| (One intermediate revision by the same user not shown) | |||
| Line 12: | Line 12: | ||
== Parameters == | == Parameters == | ||
$n$: number of men and number of women | |||
== Table of Algorithms == | == Table of Algorithms == | ||
Latest revision as of 09:23, 10 April 2023
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 |