Repeated application of finding the minimum spanning tree for all the components in a graph yields a minimum spanning forest for a graph.

Question

Quizplus · Accepted Answer

When we repeatedly find the minimum spanning tree for all the components in a graph, we are essentially identifying the minimum spanning tree for each connected component of the graph. The resulting set of minimum spanning trees for each component forms a minimum spanning forest for the entire graph. Therefore, the statement is true.

Repeated Application of Finding the Minimum Spanning Tree for All