Question: Consider the directed network shown in Fig. 3.1. Suppose w= 1. (i) Using Dijkstra's algorithm, find the shortest path spanning tree (Tree 1) from

Consider the directed network shown in Fig. 3.1. Suppose w = 1. (i) Using Dijkstra's algorithm, find the

Consider the directed network shown in Fig. 3.1. Suppose w= 1. (i) Using Dijkstra's algorithm, find the shortest path spanning tree (Tree 1) from S to all other nodes. In the table below, put an 'X' when an edge is in Tree 1. (ii) State the order in which edges are added in Dijkstra's algorithm, e.g., put a 1, 2 in the row for the edge. (iii) Find all values of 'w' for which Dijkstra's algorithm finds the correct shortest path spanning tree. 2 W Fig. 3.1

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