Zk-magic labeling of star of graphs

• Jeyanthi, P. ^[2] ; Daisy, K. Jeya ^[1]
  1. [1] Holy Cross College

     Holy Cross College

     Township of Portage, Estados Unidos

     
  2. [2] Govindammal Aditanar College for Women.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 1, 2020, págs. 31-50
• Idioma: inglés
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• Resumen

  • For any non-trivial abelian group A under addition a graph G is said to be A-magic if there exists a labeling f : E(G) → A − {0} such that, the vertex labeling f + defined as f +(v) = Pf(uv) taken over all edges uv incident at v is a constant. An A-magic graph G is said to be Zk-magic graph if the group A is Zk, the group of integers modulo k and these graphs are referred to as k-magic graphs. In this paper we prove that the graphs such as star of cycle, flower, double wheel, shell, cylinder, gear, generalised Jahangir, lotus inside a circle, wheel, closed helm graph are Zk-magic graphs.