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A. Apply Prim’s algorithm to the graph in the figure. In thepriority queue, include all the vertices that are not already inthe tree. Then draw the minimum spanning tree
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B. Starting at vertex A, apply Dijkstra’s algorithm to the graphin the same figure above. In the priority queue, inlcude all thevertices that are not already in the tree. Also, list all shortestpaths and their lengths from the source vertex
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Expert Answer
minimum spanning tree :
c is the random node picked for the traversing a graph.c has thetwo adjecent nodes d and g.so that from d and g ,the graph’s nodeswill be covered uniquely on priority basis to obtain the minimumspanning tree as follows.
c-g-h
c-d-e-f-j-i-l-k
e-b-a
minimum spanning tree cost=39
2) Shortest path from vertex a which covers all the nodes of thegraph.This shortest path obtained using Dijkstra’salgorithm.Shortest path from a-b is 45
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