Question: 2. (6 points) Consider an undirected graph G=(V,E) with nonnegative edge weights w(u, v)20. Suppose that you have computed a minimum spanning tree G, and

2. (6 points) Consider an undirected graph G=(V,E) with nonnegative edge

2. (6 points) Consider an undirected graph G=(V,E) with nonnegative edge weights w(u, v)20. Suppose that you have computed a minimum spanning tree G, and that you have also computed shortest paths to all vertices from vertex seV. Now suppose each edge weight is increased by 1: the new weights w'(u,v) = w(u,v) + 1. (a) Does the minimum spanning tree change? Give an example it changes or prove it cannot change. (b) Do the shortest paths change? Give an example where they change or prove they cannot change

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