The integer-antimagic spectra of Hamiltonian graphs

ODABAŞI U., Roberts D., Low R. M.

ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS, cilt.9, sa.2, ss.301-308, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.5614/ejgta.2021.9.2.5
  • Dergi Adı: ELECTRONIC JOURNAL OF GRAPH THEORY AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.301-308
  • Anahtar Kelimeler: Hamiltonian graphs, graph labeling, group-antimagic labeling
  • İstanbul Üniversitesi Adresli: Hayır

Özet

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)P -> A/{0(A)} such that the induced vertex labeling f(+)(v) = Sigma({u,v}is an element of E(G)) f({u, v}) 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 all Hamiltonian graphs.