A. Find the Minimum Spanning Tree (MST) for the given graph using Prim's algorithm (Assume C is the root vertex). Show the details of your calculation. Draw the final MST clearly. [5] B. Find the Shortest path Tree (SPT) for the given graph using Dijkstra's algorithm from vertex C. Show the details of your calculation. Draw the final SPT clearly and write the shortest path from C to each vertex.
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Apply Kruskal's Algorithm to the following graph to determine a Minimum Spanning Tree. Kruskal's algorithm is an edge oriented algorithm. SHOW YOUR WORK AS YOU APPLY KRUSKAL'S ALGORITHM. THAT IS, LIST THE EDGES IN THE ORDER THAT THEY ARE ADDED TO THE TREE. WHAT IS THE COST OF THE MINIMAL SPANNING TREE? INDICATE BELOW (DRAW) THE RESULTING MINIMAL SPANNING TREE. TRACE: List below the edges of the graph in the order in which they were added to the MST In the space below, draw the resulting MST -OR- Clearly indicate the MST in the graph above
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