Question: 2. (a) A network is illustrated in Fig. 2. tU 6 Figure 2: A network consisting of nodes {U, x,v, y, w, z Use Dijkstra's

2. (a) A network is illustrated in Fig. 2. tU 6 Figure 2: A network consisting of nodes {U, x,v, y, w, z Use Dijkstra's algorithm to find the shortest paths from node U to all other nodes in the network. Show all intermediate steps. State two properties of Dijkstra's algorithm and show how your solution to Dijkstra's algorithm satisfies these properties [10 marks] (b) Given a graph G which consists of INI nodes and |E edges. In the worst case, the computation that must be done to compute Dijkstra's algorithm incurs a cost of O(|NI2) flops. Explain why this is the case
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