could someone please help me out the question 24. 3-8 suppose that we are given

Question

could someone please help me out the question 24. 3-8 suppose that we are given a weighted, directed graph G = (V,E) in which edges that leave teh source vertex s may have negativeweights all other edge weights are nonnegative, and there are nonegative-weight cycles argue that Dijkstra's algorithm correctlyfinds shortest paths from s in this graph could someone please help me out the question 24. 3-8 suppose that we are given a weighted, directed graph G = (V,E) in which edges that leave teh source vertex s may have negativeweights all other edge weights are nonnegative, and there are nonegative-weight cycles argue that Dijkstra's algorithm correctlyfinds shortest paths from s in this graph

Explanation / Answer

The only edges that leave the source vertex may havenegative weights, the graph cannot have negative cycles andtherefore if there exists a path to a vertex u, there must exist ashortest path. While deriving the contradiction, the assumption isthat edges on path p_2 (see proof in text) have nonnegative edges.This is still true because all negative edges incident on s and noedge in p2 is incident on s.

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