Given the graph above, answer the following questions below regarding properties of the graph. a) How many cycles with at most 5 vertices are there in the graph? Answer: суcles b) Consider the possible paths from vertex A to vertex H. What is the minimum total path weight connecting vertex A and vertex H? For example the path: A>C→D>F>H has a total path weight of 31. Answer: path c) Which of the following edges should be added to the graph above to reduce the minimum total path weight connecting vertex A and vertex H? Choices: 1. (А, В, 11) 2. (В, F, 8) 3. (С, F, 11) 4. (G, H, 19)

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