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March 24, 2017

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Construct a graph based on the adjacency matrix that appears below. Label all nodes with indices consistent with the placement of numbers within the matrix.

⌈0 6 0 5 0⌉
| 6 0 1 0 3 |
| 0 1 0 4 8 |
| 5 0 4 0 0 |
⌊0 3 8 0 0⌋
Describe the graph and why it is consistent with the matrix.
How many simple paths are there from vertex 1 to vertex 5? Explain.Which is the shortest of those paths?

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