Publication Date
1-1-2022
Document Type
Article
Publication Title
Turkish Journal of Mathematics
Volume
46
Issue
4
DOI
10.55730/1300-0098.3161
First Page
1310
Last Page
1317
Abstract
Let A be a nontrivial abelian group. A 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 (Formula Presented) 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 a disjoint union of Hamiltonian graphs.
Funding Sponsor
Illinois Wesleyan University
Keywords
Disjoint union, Graph labeling, Hamiltonian graphs, Integer-antimagic labeling
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Mathematics and Statistics
Recommended Citation
Uğur Odabaşi, Dan Roberts, and Richard M. Low. "The integer-antimagic spectra of a disjoint union of Hamiltonian graphs" Turkish Journal of Mathematics (2022): 1310-1317. https://doi.org/10.55730/1300-0098.3161
