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Let G be a graph of order p without isolated vertices. A bijection f: V \1, 2, 3, , p\ is called a local distance antimagic labeling, if wf (u) wf (v) for every edge uv of G, where wf (u) =ₗ ₍ (ₔ) f (x). The local distance antimagic chromatic number ₋₃₀ (G) is defined to be the minimum number of colors taken over all colorings of G induced by local distance antimagic labelings of G. In this paper, we determined the local distance antimagic chromatic number of some cycles, paths, disjoint union of 3-paths. We also determined the local distance antimagic chromatic number of join products of some graphs with cycles or paths.
Shiu et al. (Thu,) studied this question.
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