On the Integer-antimagic Spectra of Non-Hamiltonian Graphs

Authors

Wai Chee Shiu, The Chinese University of Hong KongFollow
Richard M. Low, San Jose State UniversityFollow

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.

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