Currently, we have tags
The tags seem to be used a little arbitrarily, and the former two should probably be synonyms. There are no descriptions helping users along.
What should we do with theses?
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I think we mostly have to differentiate between partitions of integers and sets. The latter appears in many contexts in CS but we have other tags to clarify the context. Therefore, I suggest the following.
Create tag integer-partitions.
Partitions of an integer n are different ways of writing n as sum of smaller integers.
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A partition or partitioning of a set A is a collection of disjoint sets whose union yields A.
Remove partition-problem.
Questions can be tagged with one of the above tags plus discrete-mathematics, data-structures, complexity-theory, decision-problem, or optimization to disambiguate.