Question: Problem 6. Dijkstra's algorithm does not generally work for graphs with negative weights. Consider the following modification: determine the lowest weight win of any edge

Problem 6. Dijkstra's algorithm does not generally work for graphs with

Problem 6. Dijkstra's algorithm does not generally work for graphs with negative weights. Consider the following modification: determine the lowest weight win of any edge in the graph, add the absolute value of that weight lwmin to all edges' weights, then run Dijkstra, and finally subtract |wmin again to adjust the weights of the computed shortest paths Show that this modification does not work. Give an example of a graph G for which this modified version of Dijkstra's algorithm computes at least one incorrect shortest path and point out a pair of vertices along with the incorrectly computed path and a correct path

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