The Integer-antimagic Spectra of a Weak Join of Hamiltonian Graphs

Odabaşı U., Roberts D., Low R. M.

Theory and Applications of Graphs, cilt.12, sa.1, ss.1-8, 2025 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.20429/tag.2025.120105
  • Dergi Adı: Theory and Applications of Graphs
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.1-8
  • İstanbul Üniversitesi-Cerrahpaşa Adresli: Evet

Özet

A simple graph G with vertex set V (G) and edge set E(G) is Zk-antimagic if there exists a function f : E(G) → Zk\{0} such that the induced function f +(v) = P uv∈E(G) f(uv) is injective. The integer-antimagic spectrum of a graph G is the set IAM(G) = {k : G is Zk-antimagic and k ≥ 2}. A weak join of vertex-disjoint graphs is the collection of the graphs with additional simple edges between the original graphs. In this paper, we characterize IAM(H) where H is a weak join of Hamiltonian graphs.