The correct mapping (an isomorphism) between the sets of vertices of the two graphs is f(u1) = v1, f(u2) = v2, f(u3) = v4, f(u4) = v5, and f(u5) = v3
The two given graphs are isomorphic in nature
In the firsts graph, the serial order is u1, u2, u3, u4, u5
wherease in the second graph the order is v1, v2, v4, v5, v3
Upon analysis, it can be seen that  the correct mapping (an isomorphism) between the sets of vertices of the two graphs is
f(u1) = v1, f(u2) = v2, f(u3) = v4, f(u4) = v5, and f(u5) = v3
Then the correct mapping (an isomorphism) between the sets of vertices of the two graphs is f(u1) = v1, f(u2) = v2, f(u3) = v4, f(u4) = v5, and f(u5) = v3.
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