Algorithms | Graph Shortest Paths | Question 14

Consider the directed graph shown in the figure below. There are multiple shortest paths between vertices S and T. Which one will be reported by Dijstra?s shortest path algorithm? Assume that, in any iteration, the shortest path to a vertex v is updated only when a strictly shorter path to v is discovered.

Graph


(A) SDT
(B) SBDT
(C) SACDT
(D) SACET


Answer: (D)

Explanation: See Dijkstra’s shortest path algorithm

When the algorithm reaches vertex ‘C’, the distance values of ‘D’ and ‘E’ would be 7 and 6 respectively. So the next picked vertex would be ‘E’

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