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Consider the implementation of Dijkstra’s shortest path algorithm on a weighted graph G(V, E) with no negative edge. If this algorithm is implemented to find the shortest path between all pair of nodes, the complexity of the algorithm in a worst-case is ______.
  • a)
    O(E log V)
  • b)
    O(V3)
  • c)
    O(VE)
  • d)
    O(V3 log V)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the implementation of Dijkstra’s shortest path algorith...
Dijkstra’s algorithm solves the single-source shortest-paths problem on a weighted, directed graph G for the case in which all edge weights are nonnegative. The time complexity of Dijkstra’s algorithm is O(E log V).
One can implement Dijkstra’s shortest path algorithm to find all pair shortest path by running it for every vertex. The time complexity of this Dijkstra’s algorithm is O(V3 log V).
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Consider the implementation of Dijkstra’s shortest path algorithm on a weighted graph G(V, E) with no negative edge. If this algorithm is implemented to find the shortest path between all pair of nodes, the complexity of the algorithm in a worst-case is ______.a)O(E log V)b)O(V3)c)O(VE)d)O(V3log V)Correct answer is option 'D'. Can you explain this answer?
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