AT&T; LTE 5:29 PM a instructure-uploads.s3.amazonaws.com (It is priority queue,

Question

AT&T; LTE 5:29 PM a instructure-uploads.s3.amazonaws.com (It is priority queue, state why and show complexity of insertion, deletion and search) 3.We are running depth-first search on the graph below and assuming that the searches visit the neighbors of a node and the sources in numerical order (smaller first) a. Draw the breadth-first search tree starting from vertex 1 4 8 b. What will be the result of DFS if node 2 is chosen? 2 4. We are running one of the two algorithms on the graph below. (ignore the directions on the edges for Prim's and Kruskal's) a. Show the order of nodes that are added to the partia solution by the Prim's algorithm starting from node 1 b. What is the sequence of edges added by Kruskal' lgorithm?

Explanation / Answer

If there are more than one possible node in DFS we are choosing smaller one.

So in 3b)

The DFS would be as follows:

So the output of DFS would be following order:

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