Stable Pair Checking (Stable Matching Problem)
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Description
Verify that a given pairing is stable, given the preferences
Related Problems
Generalizations: Stable Marriage Problem
Related: Almost Stable Marriage Problem, Stable Roommates Problem, Boolean d-Attribute Stable Matching, Stable Matching Verification
Parameters
$n$: number of pairs of roommates
Table of Algorithms
Currently no algorithms in our database for the given problem.
Reductions FROM Problem
| Problem | Implication | Year | Citation | Reduction |
|---|---|---|---|---|
| Maximum Inner Product Search | assume: OVH then: for any $\epsilon > {0}$, there is a $c$ such that determining whether a given pair is part of any or all stable matchings in the boolean $d$-attribute model with $d = c\log n$ dimensions requires time $\Omega(n^{2-\epsilon})$ |
2016 | https://arxiv.org/pdf/1510.06452.pdf | link |
| Maximum Inner Product Search | assume: NSETH then: for any $\epsilon > {0}$ there is a $c$ such that determining whether a gaiven pair is part of any or all stable matching in the boolean $d$-attribute model with $d = c\log n$ dimensions requires co-nondeterministic time $\Omega(n^{2-\epsilon})$ |
2016 | https://arxiv.org/pdf/1510.06452.pdf | link |
| Maximum Inner Product Search | assume: NSETH then: for any $\epsilon > {0}$ there is a $c$ such that determining whether a gaiven pair is part of any or all stable matching in the boolean $d$-attribute model with $d = c\log n$ dimensions requires nondeterministic time $\Omega(n^{2-\epsilon})$ |
2016 | https://arxiv.org/pdf/1510.06452.pdf | link |