Some Results on Inclusive Distance Antimagic Labeling of Graphs

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Christyan Tamaro Nadeak

2026 Journal of the Indonesian Mathematical Society Vol. 32 Issue 1 Article Cited by 0 Quartile

Abstract

Let G = (V, E) be a graph of order n. A bijection f : V (G) → {1, 2, · · ·, n} is called inclusive distance antimagic labeling if w(u) ≠ w(v) for any two distinct vertices u, v ∈ V (G), where w(v) = X f(x). We start our dis-x∈N[v] cussion with the connection between distance magic labeling and inclusive distance antimagic labeling. Then, we investigate the existence of an inclusive distance antimagic labeling for circulant graphs, disjoint union graphs, and join graphs. © 2026 The Indonesian Mathematical Society. All rights reserved.

Affiliations

Department of Data Science, Institut Teknologi Sumatera, Indonesia