On even vertex odd mean labeling of the calendula graphs

• basher, mohamed basher ^[1]
  1. [1] Suez University

     Suez University

     Egipto

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 39, Nº. 6, 2020, págs. 1515-1535
• Idioma: inglés
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• Resumen

  • A graph $G$ with $|E(G)|=q$, an injective function $f:V(G)\rightarrow\{0,2,4,...,2$q$\}$ is an even vertex odd mean labeling of $G$ that induces the values $\frac{f(u)+f(v)}{2} $ for the $q$ pairs of adjacent vertices $u,v$ are distinct. In this paper, we investigate an even vertex labeling for the calendula graphs. Moreover we introduce the definition of arbitrary calendula graph and prove that the arbitrary calendula graphs are also even vertex odd mean graphs.