k-super cube root cube mean labeling of some corona graphs

• Princy Kala, V. ^[1]
  1. [1] Holy Cross College

     Holy Cross College

     Township of Portage, Estados Unidos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 41, Nº. 4, 2022, págs. 903-921
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-5200
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• Resumen

  • Let G be a graph with |V (G)| = p and |E (G)| = q and f : V (G) → {k, k+1, k+2,..., p+q+k − 1 } be an one-to-one function. The induced edge labeling f ∗, for a vertex labeling f is defined by f ∗(e) = for all e = uv ∈ E(G) is bijective. If f(V (G)) ∪ {f ∗(e) : e ∈ E(G)} = {k, k+1, k+2,..., p+q+k − 1}, then f is known as a k-super cube root cube mean labeling. If such labeling exists, then G is a k-super cube root cube mean graph. In this paper, I prove that Tn ʘ K1, A(Tn) ʘ K1, A(Tn) ʘ 2K1, A(Qn) ʘ K1, Pn ʘ K1,2 and Pn ʘ K1,3 are k-super cube root cube mean graphs.

     

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