In graph theory, a minimum cut or min-cut of a graph is a cut (a partition of the vertices of a graph into two disjoint subsets) that is minimal in some metric.

Variations of the minimum cut problem consider weighted graphs, directed graphs, terminals, and partitioning the vertices into more than two sets.

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## References

“Minimum Cut.” 2023.

*Wikipedia*, March. https://en.wikipedia.org/w/index.php?title=Minimum_cut&oldid=1142296460.