1) For the graph given above in Figure 1, . . .a) . . . run Dijkstra?s algorithm starting in vertex s. Show the computed tree and distances.b) . . . create a minimum spanning tree (you can ignore the edge directions).
2) You are given a weighted directed acyclic graph and two vertices s and t. Give an algorithm thatfinds the shortest path from s to t in linear time. Note that edge weight can be negative.
3) Let G = (V, E) be a weighted, directed graph with exactly one negative weight edge and nonegative-weight cycles. Give an algorithm to find the shortest distance from s to all other verticesin V that has the same running time as Dijkstra?s algorithm.
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