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(a) Please present an approximate algorithm for solving the node cover problem of a graph G = (V, E). (b) Please give the approximation ratio

(a) Please present an approximate algorithm for solving the node cover problem of a graph G = (V, E).

(b) Please give the approximation ratio and prove the ratio. Let N denote the solution (node cover) obtained from your algorithm and C be the size of the optimal solution (node cover). Show that |N| 2C.

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