I know very basics of this.
but still i want to present my idea.
here we go-
1/ find the degree of each of node in U. ( assume if node x of U  to
node y of V has k edges still it contribues only 1 to degree
calucaltion).
 S = {}
2/ while V is empty {
      2a) choose the node k , with max degree in U.
                S = S Union {k} ;
                U = U minus {k}
                V = V minus { those nodes covered by k}
       2b) recalculate the degrees of nodes U.
   }
  
3/ S is min cover , we are looking for.

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