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A matching that is not unstable in this way is called stable (or pairwise stable) ( 9).
In the college admissions problem, the student-optimal algorithm generates either a matching that is not stable for the true preferences or a matching that is college-optimal and student-pessimal in terms of the true preferences.
We represent a matching as a multigraph, and characterize a matching that is stable and constrained efficient.
The maximal matching problem, i.e., the computation of a matching that is not a proper subset of another matching, is a fundamental optimization problem, and maximal matching algorithms have been used as submodules for problems like maximal node-disjoint paths or maximum flow.
Here, the aforementioned standardized matching between job characteristics and the unemployed can be complemented or replaced by a matching that is based on the appreciation of caseworkers.
This negotiation involves the projection of process views onto the external layer until achieving a matching that establishes a consensus between the service provisioning and service consumption.
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In 1905, Michigan met Chicago-a match that showed the nation college football was no longer just a game.
If it spots a match, that is a sure thing.
This was a match that turned two seasons.
And a match that will not be on Court 14.
It was a match that summed up Federer's year.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com