Question: Introduction to Algorithm 2. (Exercise 22.4-3) Give an algorithm (in pseudocode or English) that determines whether or not a given simple undirected graph G (V,

Introduction to Algorithm Introduction to Algorithm 2. (Exercise 22.4-3) Give an algorithm (in pseudocode

2. (Exercise 22.4-3) Give an algorithm (in pseudocode or English) that determines whether or not a given simple undirected graph G (V, E) contains a cycle. Your algorithm should run in O(V) time, independent of lEl. Explain why your algorithm runs in O(V) time. If you are going to use some part of the solution of problem 1 in place of the normal DFS procedure, you must explicitly state that you are doing so, and must explain how, if at all, any modifications made affect the runtime of DFS (Hint: What is the maximum number of edges an undirected graph can have before there is guaranteed to be a cycle?)

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