Question: 1. Explain why the graph shown below does not have a path from a to a that passes through each edge exactly one time. a

1. Explain why the graph shown below does not have a path from a to a that passes through each edge exactly one time. a b C \f12. Show the graph is planar by redrawing it so no edges cross. b e d 2. Explain why the graph shown below has a path from a to a that passes through each edge exactly one time. a b 3. Find the degree of each vertex for the graph shown below. U2 V1 U3 U5 . .\f7. Using the weighted graph below find the shortest path from a to f. Find the shortest path from b to j. \f9. Write an adjacency matrix for K. 10. Draw a graph using the below adjacency matrix. a b c d e f a (00 1 0 0 1 b0 2 01 2 0 c|1 0 0 0 0 1 d 10 1 0 0 1 O e |02 0 1 0 O f\\1 01 0 0 O

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