Consider the spanning trees and in the proof of Theorem 10.6.3. Prove that .
Where, is the graph obtained from by removing and adding whereas .
Spanning trees are
Correctness of Prim’s Algorithm:
When a connected, weighted graph is input to prim’s algorithm, the output is a minimal spanning tree for .
In the proof of given theorem, the following are the facts:
is the graph obtained from by removing and adding .
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