Let Α be a nontrival abelian group. A connected simple graph G = (V, E) is Α-antimagic if there exists an edge labeling f: E(G) → A \ {0} such that the induced vertex labeling f+: V(G) → Α, defined by f+(v) = Σ{uv ∈ E(G) f(uv), is injective. The integer-antimagic spectrum of a graph G is the set IAM(G) = {k |G is {Ζ}k-antimagic} and k ≥2. In this paper, we determine the integer-antimagic spectra for cycles with a chord, paths with a chord, and wheels with a chord.

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

ref_tag2021080101.pdf (129 kB)
Supplemental Reference List with DOIs