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10) The function Cyclic is intended to check whether a given undirected graph is cyclic. function CYCLIC((V, E)) mark each node in V with 0

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10) The function Cyclic is intended to check whether a given undirected graph is cyclic. function CYCLIC((V, E)) mark each node in V with 0 count=0 for each v in V do if v is marked with 0 then cyclic + HASCYCLES(V) if cyclic then return True return False D w is v's neighbour function HASCYCLES(V) count + count +1 mark v with count for each edge (v, w) do if w's mark is greater than 0 then return True if HASCYCLES(w) then return True return False Dw has been visited before Da cycle can be reached from w Show, through a worked example, that the algorithm is incorrect

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