In minimum spanning trees, the cut property is used to justify Prim's…

Bihar STET · PGT (Paper 2) · Computer Science · 2025

In minimum spanning trees, the cut property is used to justify Prim's algorithm. What does the cut property state?

  1. A.

    A maximum-weight edge in the graph must be part of every MST.

  2. B.

    A minimum-weight edge in the graph is the only edge Prim's algorithm can choose.

  3. C.

    A minimum-weight edge crossing the current cut is safe to add to an MST.

  4. D.

    A maximum-weight edge crossing a cut is safe to add to an MST.

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Correct answer: C

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