Design and analyze an algorithm that given an adjacency list for weighted DAG (directed acyclic graph) and two vertices and t finds shortest path from to Your algorithm should take O(n + m) time: Hint: start off by topologically sorting the vertices of the graph.
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First, we need to topologically sort the vertices of the graph. We can do this using a depth-first search (DFS) based algorithm. The time complexity of this step is O(n + m), where n is the number of vertices and m is the number of edges. Show more…
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Use Dijkstra's algorithm to determine the length of a shortest path between the vertices a and h in the following weighted graph. It is very important to note that that every iteration of the algorithm must be shown and a brief explanation for every step (subgraph) must be provided, as just writing the correct length of the shortest path is not enough at all. In other words, you must show your work.
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