• Prague Bucharest Rome Sofia Moliterrancan Sa Athens Southeast Eurofly is a small airline company that flies among the following cities. 1. Build the diagraph by labelling the cities as follow: 1 -Rome; 2- Prague; 3-Bucharest; 4-Sofia; 5-Athens. 2. Find the Adjacency matrix. 3. Compute A². Explain how the ij entry of A² gives the number of routes that take exactly two flights from city i to city j. 4. Compute A³. What is the entry ij representing? 5. What is the entry of the matrix A+ A? + ...+ Ak representing? 6. What is the minimum k such that you can flight between any two cities with at most k flights? 7. The flight from Athens to Prague is pretty crucial to the company. Take away the fliight: What is the minimum k so that you can you can fly between any two cities with at most k flights?

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