3. Consider the following undirected, weighted graph: 2 12 7 B D A 1 F 3 E 10 Step through Dijkstra's algorithm to calculate the single-source shortest paths from A to every other vertex. Show your...

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Extracted text: 3. Consider the following undirected, weighted graph: 2 12 7 B D A 1 F 3 E 10 Step through Dijkstra's algorithm to calculate the single-source shortest paths from A to every other vertex. Show your steps in the table below. Cross out old values and write in new ones, from left to right within each cell, as the algorithm proceeds. Also list the vertices in the order in which you marked them known. Known vertices (in order marked known): A C G E F Vertex Distance Path A A 1 A -> B A -> B -> C 7 A -> B -> C ->E-> D E A -> B -> C ->E F 7 A -> B -> C ->E -> F A -> B -> G 3 LO


Extracted text: 4. Consider the following undirected, weighted graph (seen previously in #3): 2 12 7 В D A F 3 3 E 10 Step through Prim's algorithm to calculate a minimum spanning tree, starting from vertex A. Show the edge coordinates and their corresponding weights. Specify the weight of the MST and also draw the MST. Order vertices marked as known (done): 1) Neighbors of A Edges Weight