Publication Date
1-1-2022
Document Type
Article
Publication Title
Theory and Applications of Graphs
Volume
9
Issue
2
DOI
10.20429/tag.2022.090208
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 \ {0} such that the induced vertex labeling f+ : V (G) → A, defined by f+(v) = Σ {f(u, v): (u, v) ∈ 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.
Department
Mathematics and Statistics
Recommended Citation
Wai Chee Shiu and Richard M. Low. "On the Integer-antimagic Spectra of Non-Hamiltonian Graphs" Theory and Applications of Graphs (2022). https://doi.org/10.20429/tag.2022.090208
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