Home > Journals > TAG > Vol. 9 (2022) > Iss. 2
Publication Date
July 2022
Abstract
Let $A$ be a nontrivial abelian group. A connected simple graph $G = (V, E)$ is $A$-\textbf{antimagic} if there exists an edge labeling $f: E(G) \to A \setminus \{0\}$ such that the induced vertex labeling $f^+: V(G) \to A$, defined by $f^+(v) = \Sigma$ $\{f(u,v): (u, v) \in E(G) \}$, is a one-to-one map. In this paper, we analyze the group-antimagic property for Cartesian products, hexagonal nets and theta graphs.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Shiu, Wai Chee and Low, Richard M.
(2022)
"On the Integer-antimagic Spectra of Non-Hamiltonian Graphs,"
Theory and Applications of Graphs: Vol. 9:
Iss.
2, Article 8.
DOI: 10.20429/tag.2022.090208
Available at:
https://digitalcommons.georgiasouthern.edu/tag/vol9/iss2/8