For a graph $G=(V,E)$, a bijection $f$ from $V(G) cup E(G)$ into ${1, 2,3,ldots,$ $|V(G)|+|E(G)|}$ is called ($a$,$d$)-edge-antimagic total labeling of $G$ if the edge-weights $w(xy) = g(x) + g(y) + g(xy), xy in E(G)$, form an arithmetic progression starting from $a$ and having common difference $d$. An ($a$,$d$)-edge-antimagic total labeling is called super ($a$,$d$)-edge-antimagic total labeling if $g(V(G))= {1, 2,ldots,|V(G)|}$. A vertex coloring is an assignment of labels or colors to each vertex of a graph such that there is no two adjacent vertices have the same colors. We can use vertex coloring technique to label the vertices of a graph such that it has EAV-weight. Furthermore, If we have an EAV-weight of $S_n$, we can construct a super $(a,d)$-edge antimagic total labeling of Star Graph, either simple or disjoint union of this graph.
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