Intermediate Discrete Mathematics & Math
Q78 / 100

What does Kruskal's algorithm compute, and what greedy rule does it follow?

Correct! Well done.

Incorrect.

The correct answer is B) A minimum spanning tree, by repeatedly adding the smallest-weight edge that does not create a cycle

B

Correct Answer

A minimum spanning tree, by repeatedly adding the smallest-weight edge that does not create a cycle

Explanation

Kruskal's algorithm sorts all edges by weight and greedily adds each edge to the growing forest as long as it does not form a cycle (checked via union-find), producing a minimum spanning tree. Prim's algorithm achieves the same goal by growing a single tree from a vertex.

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