Question: Given the following directed weighted graph G (V,E,w), indicate which shortest path algorithm is ……

I don’t know if these are right

Given the following directed weighted graph G (V,E,w), indicate which shortest path algorithm is most suitable and efficient for shortest path computation on G: (a) DAG Shortest Paths (b) Dijkstra (c) Bellman-Ford Given the following directed weighted graph G (VE,w),indicate which shortest path algorithm is most suitable and efficient for shortest path computation on G w(1,2)-3, (13)–1, w(2,3) 2, w(2,1) 5 w(3,2)-4 (a) DAG Shortest Paths (b) Dijkstra (c) Bellman-Ford Given the following directed weighted graph G (V.E,w), indicate which shortest path algorithm is most suitable and efficient for shortest path computation on G w(1,3) -5, w(2,3)-9, w(3,1)-2, w(3,2)3 (a) DAG Shortest Paths (b)Dijkstra (c) Bellman-Ford CFor a graph G (V.E) wha is the time complexity of the DAG Shortest Paths (SP) algorithm? (a) Θ(V) (b) 0(E) @00+ E) (d) ΘΕ log V) (e)0(EV) (f) e(V)

Expert Answer

answers

QQ1)a) DAG shortes paths(because the weights are negative and graph is not cyclic i.e acyclic)

Q2)c) Bellman-Ford(because the weights are negative and graph is cyclic)

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Q3) b) Djikstra(because all weights are positive)
Q4)c) O(V+E) ( Time complexity of topological sorting is O(V+E). After finding topological order, the algorithm process all vertices and for every vertex, it runs a loop for all adjacent vertices. Total adjacent vertices in a graph is O(E). So the inner loop runs O(V+E) times. Therefore, overall time complexity of this algorithm is O(V+E).)

hope this helps, Thank you.

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