Analytic odd mean labeling of union and identification of some graphs

Jeyanthi, P. ^[2] ; Gomathi, R. ^[2] ; Lau, G. C. ; Shiu, W. C. ^[1]
1. [1] Chinese University of Hong Kong
  
  Chinese University of Hong Kong
  
  RAE de Hong Kong (China)
2. [2] Govindammal Aditanar College for Women.
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 5, 2023, págs. 1141-1155
Idioma: inglés
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Resumen
- A graph G is analytic odd mean if there exist an injective function f : V → {0, 1, 3, . . . , 2q − 1} with an induced edge labeling f∗ : E → Z such that for each edge uv with f(u) < f(v), is injective. Clearly the values of f∗ are odd. We say that f is an analytic odd mean labeling of G. In this paper, we show that the union and identification of some graphs admit analytic odd mean labeling by using the operation of joining of two graphs by an edge.