\input zb-basic \input zb-ioport \iteman{io-port 06092185} \itemau{Dafik; Miller, Mirka; Ryan, Joe; Ba\v {c}a, Martin} \itemti{Super edge-antimagic total labelings of $mK_{n,n,n}$.} \itemso{Ars Comb. 101, 97-107 (2011).} \itemab Summary: An $(a,d)$-edge-antimagic total labeling on $(p,q)$-graph $G$ is a one-to-one map $f$ from $V(G)\cup E(G)$ onto the integers $1,2,\dots ,p+q$ with the property that edge-weights, $w(uv)=f(u)+f(v)+f(uv)$ where $uv\in E(G)$, form an arithmetic progression starting from $a$ and having common difference $d$. Such a labeling is called super if the smallest possible labels appear on the vertices. In this paper, we investigate the existence of super $(a,d)$-edge-antimagic total labeling of disjoint union of multiple copies of complete tripartite graph and disjoint union of stars. \itemrv{~} \itemcc{} \itemut{super $(a,d)$-edge-antimagic total labeling; disjoint union of complete trpartite graphs; disjoint union of stars} \itemli{} \end