Question: Use Dijksra's Algorithm Table to solve this question 5. Find the shortest path from node 1 to every other node in the following network. Identify

 Use Dijksra's Algorithm Table to solve this question 5. Find the

Use Dijksra's Algorithm Table to solve this question

shortest path from node 1 to every other node in the following

5. Find the shortest path from node 1 to every other node in the following network. Identify the shortest path tree obtained. d dii Dijkstra's Algorithm Assuming that all arc lengths are nonnegative, the following method, known as Dijkstra's algorithm, can be used to find the shortest path from a node (say, node 1) to all other nodes.' Dijkstra's algorithm. Let u; be the shortest distance from source node 1 to node i, and define dij (20) as the length of arc (i,j). The algorithm defines the label for an imme- diately succeeding nodej as k j 1 [uj, i] = [u; + dij , i], dj = 0 i [uji] [0,-) [u;k] The label for the starting node is [0, ], indicating that the node has no predecessor. Node labels in Dijkstra's algorithm are of two types: temporary and permanent. A temporary label at a node is modified if a shorter route to the node can be found Otherwise, the temporary status is changed to permanent. Step 0. Label the source node (node 1) with the permanent label [0, ]. Set i = 1. General step i. (a) Compute the temporary labels [u; + dij, i] for each node j with dij > 0, provided j is not permanently labeled. If node j already has an existing temporary label [uj, k] via another node k and if u; + dij

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