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5. Suppose we are given both an undirected graph G with weighted edges and a minimum spanning...

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Advance Math

5. Suppose we are given both an undirected graph G with weightededges and
a minimum spanning tree T of G .
(a) Describe an algorithm to update the minimum spanning tree whenthe
weight of a single edge e is decreased.
(b) Describe an algorithm to update the minimum spanning tree whenthe
weight of a single edge e is increased.
In both cases, the input to your algorithm is the edge e and itsnew weight;
your algorithms should modify T so that it is still a minimumspanning tree.
[Hint: Consider the cases e ∈ T and e 6∈ T separately.]

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