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A proper [k]-edge coloring of a graph G is a proper edge coloring of G using colors of the set [k], where [k]={1,2,…,k}. A neighbor sum distinguishing [k]-edge coloring of G is a proper [k]-edge coloring of G such that, for each edge uv∈E(G), the sum of colors taken on the edges incident with u is different from the sum of colors taken on the edges incident with v. By ndi∑(G), we denote the smallest...
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