Question: Give an algorithm that accepts as an input an undirected graph G ( V , E ) and an edge e in E and finds

Give an algorithm that accepts as an input an undirected graph G

(

,

)

and

an edge e in E and finds if there exists a cycle that contains e such that every edge in

the cycle appears at most once.

explain their correctness and analyze their complexity. The complexity should be as low as possible. Write the answer in pseudocode and explain as well.

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