Abstract
Let G be a super edge-magic total graph of order p and size q. It is shown that the graph G is a super (a, 1)-antimagic total graph, if q is odd. It is also shown that if q = p or q = p - 1 then G is an (a, d)-antimagic total graph for some positive integers a and d. Base on these results, we produce new classes of (super) (a, d)-antimagic 2-regular graphs from known super edge-magic total 2-regular graphs.
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