Publication Date

1-1-2021

Document Type

Article

Publication Title

Electronic Journal of Graph Theory and Applications

Volume

9

Issue

2

DOI

10.5614/ejgta.2021.9.2.5

First Page

301

Last Page

308

Abstract

Let A be a nontrivial abelian group. A connected simple graph G = (V, E) is A-antimagic, if there exists an edge labeling f: E(G) → A\{0A} such that the induced vertex labeling f+(v) = Σ{u,v} ∈ E(G) f({u,v}) is a one-to-one map. The integer-antimagic spectrum of a graph G is the set IAM(G) = {k: G is Zk-antimagic and k ≥ 2}. In this paper, we determine the integer-antimagic spectra for all Hamiltonian graphs.

Keywords

graph labeling, group-antimagic labeling, Hamiltonian graphs

Creative Commons License

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

Department

Mathematics and Statistics

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