Stable Matching Verification: Difference between revisions

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(Created page with "{{DISPLAYTITLE:Stable Matching Verification (Stable Matching Problem)}} == Description == Verify that a given matching 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 Pair Checking == Parameters == No parameters found. == Table of Algorithms == Currently no algorithms in our databas...")
 
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== Parameters ==  
== Parameters ==  


No parameters found.
$n$: number of men and number of women


== Table of Algorithms ==  
== Table of Algorithms ==  

Latest revision as of 08:23, 10 April 2023

Description

Verify that a given matching 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 Pair Checking

Parameters

$n$: number of men and number of women

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 an $\epsilon > {0}$ there is a $c$ such that verifying a stable matching 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