Question: Consider the VERTEX - COVER problem seen in lecture, where given a graph G ( V , E ) , one wouldlike to find the

Consider the VERTEX-COVER problem seen in lecture, where given a graph G (V, E), one wouldlike to find the minimum cardinality subset V' of V such that V' is a vertex cover of G. it hasbeen shown this problem is NP.hard in lecture. Suppose l have invented an approximation algorithm that finds a suboptimal solution to theVERTEX-COVER problem and i have somehow proven that this algorithm is a p-approximation ofthe optimal solution, What can one then conclude about the value of p?

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