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A proper k -edge-coloring of a graph with colors in { 1 , 2 , … , k } is neighbor sum distinguishing (or, NSD for short) if for any two adjacent vertices, the sums of the colors of the edges incident with each of them are distinct. Flandrin et al. conjectured that every connected graph with at least 6 vertices has an NSD edge coloring with at most Δ + 2 colors. Huo et al. proved that every...
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