An MST is constructed for a very large graph. Now, one of the edges in the graph has its weight altered (either increased or decreased). How would you obtain the MST for the new graph using the old graph's MST and the given information?

Question

Accepted Answer

To obtain the MST for the new graph, we can use the old graph's MST as a starting point and update it based on the altered edge's weight.

Start with the old graph's MST
Remove the edge with the altered weight from the MST
Add the altered edge to the new graph
Run a minimum spanning tree algorithm on the new graph to obtain the updated MST

Accepted Answer

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