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Article Title
Publication Date
2016
Abstract
Let $A$ be a non-trivial abelian group. A connected simple graph $G = (V, E)$ is $A$-\textbf{antimagic} if there exists an edge labeling $f: E(G) \to A \backslash \{0\}$ 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. The \textit{integer-antimagic spectrum} of a graph $G$ is the set IAM$(G) = \{k: G \textnormal{ is } \mathbb{Z}_k\textnormal{-antimagic and } k \geq 2\}$. In this paper, we analyze the integer-antimagic spectra for various classes of multi-cyclic graphs.
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This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
Roberts, Dan and Low, Richard M.
(2016)
"Group-antimagic Labelings of Multi-cyclic Graphs,"
Theory and Applications of Graphs: Vol. 3:
Iss.
1, Article 6.
DOI: 10.20429/tag.2016.030106
Available at:
https://digitalcommons.georgiasouthern.edu/tag/vol3/iss1/6
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