Step 1 :Given the universal set \(U = \{1, 5, 6, 7, 11, 13, 15, 16, 18\}\) and the set \(A = \{6, 11, 16\}\)
Step 2 :The complement of a set \(A\), with respect to a set \(U\), is the set of elements in \(U\) that are not in \(A\)
Step 3 :Thus, we need to find the elements in \(U\) that are not in the set \(A\)
Step 4 :By comparing the elements in both sets, we find that the elements \(1, 5, 7, 13, 15, 18\) are in \(U\) but not in \(A\)
Step 5 :\(\boxed{\text{Therefore, the complement of the set } \{6,11,16\} \text{ with respect to } U \text{ is } \{1,5,7,13,15,18\}}\)