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

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

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46
  • Basım Tarihi: 2022
  • Doi Numarası: 10.3906/mat-2108-60
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1310-1317
  • Anahtar Kelimeler: Disjoint union, Hamiltonian graphs, graph labeling, integer-antimagic labeling
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

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.