SD-prime cordial labeling of alternate k-polygonal snake of various types

• Prajapati, Udayan ^[2] ; Vantiya, Anit ^[1]
  1. [1] Gujarat University

     Gujarat University

     India

     
  2. [2] St. Xavier’s College (Autonomous).
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 3, 2021 (Ejemplar dedicado a: In progress (June 2021). This issue is in progress. Contains articles that are final and fully citable.), págs. 619-634
• Idioma: inglés
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• Resumen

  • Let f : V (G) → {1, 2,..., |V (G)|} be a bijection, and let us denote S = f(u) + f(v) and D = |f(u) − f(v)| for every edge uv in E(G). Let f' be the induced edge labeling, induced by the vertex labeling f, defined as f' : E(G) → {0, 1} such that for any edge uv in E(G), f' (uv)=1 if gcd(S, D)=1, and f' (uv)=0 otherwise. Let ef' (0) and ef' (1) be the number of edges labeled with 0 and 1 respectively. f is SD-prime cordial labeling if |ef' (0) − ef' (1)| ≤ 1 and G is SD-prime cordial graph if it admits SD-prime cordial labeling. In this paper, we have discussed the SD-prime cordial labeling of alternate k-polygonal snake graphs of type-1, type-2 and type-3.