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Dijkstra’s Algorithm run on a weighted, directed graph G={V,E} with non-negative weight function w and source s, terminates with d[u]=delta(s,u) for all vertices u in V.

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Dijkstra’s Algorithm run on a weighted, directed graph G={V,E} with non-negative weight function w and source s, terminates with d[u]=delta(s,u) for all vertices u in V.

(a) True

(b) False

The question was posed to me by my school principal while I was bunking the class.

My question is taken from Shortest Path topic in division Shortest Path of Data Structures & Algorithms II

1 Answer

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Correct answer is (a) True

Best explanation: The equality d[u]=delta(s,u) holds good when vertex u is added to set S and this equality is maintained thereafter by the upper bound property.

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