Question: Suppose G = ( V , E , omega ) is a weighted graph for which all edges are positive, except for those edges

Suppose G =(V, E,\omega ) is a weighted graph for which all edges are positive, except for those
edges of a node s which may or may not be negative. If Dijkstras algorithm is run on G with s as the source,
the correct shortest paths will be found. Assume that the graph does not have any negative loops. Justify
your answer.

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