The integer-antimagic spectra of a disjoint union of Hamiltonian graphs

Odabasi U., Roberts D., Low R. M.

TURKISH JOURNAL OF MATHEMATICS, vol.46, pp.1310-1317, 2022 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46
  • Publication Date: 2022
  • Doi Number: 10.3906/mat-2108-60
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1310-1317
  • Keywords: Disjoint union, Hamiltonian graphs, graph labeling, integer-antimagic labeling
  • Istanbul University-Cerrahpasa Affiliated: Yes

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 f(+) (v) = Sigma(uv is an element of E(G) )f(uv) is a one-to-one map. The integer-antimagic spectrum of a graph G is the set IAM (G) = {k : G is Z(k)-antimagic and k >= 2} . In this paper, we determine the integer-antimagic spectra for a disjoint union of Hamiltonian graphs.