Home > Journals > TAG > Vol. 9 > Iss. 2 (2022)
Publication Date
July 2022
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.
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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
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