Question: ( 2 0 points ) Design an algorithm that determines whether or not a given undirected graph G = ( V , E ) (

(20 points) Design an algorithm that determines whether or not a given undirected graph G=(V,E)(given in its adjacency list representation) contains a cycle. Your algorithm should run in O(|V|) time (here we will assume that we do not charge any running time for reading the input, as otherwise reading the input takes O(|V|+|E|).
( 2 0 points ) Design an algorithm that

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