Let R be a relation on set {1,2,3,4,5} with R = {(1,2), (1,3), (2, 1), (3,2), (4,5), (5,4)}. Represent R as a directed graph G and answer the following questions: a. Is there a walk of length 3 from 1 to 4 in G? If so, find one. If not, explain why. b. Is there a cycle of length 3 starting at 2 in G? If so, find one. If not, explain why. c. Is there an edge from 3 to 2 in G³? Justify your answer.
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