On Randić energy of graphs

• Autores: Samir K. Vaidya, G. K. Rathod
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 42, Nº. 1, 2023, págs. 205-218
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-4330
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• Resumen

  • Let di be the degree of vertex vi of G then Randić matrix R(G) = [rij ] is defined as rij = 1/ √didj, if the vertices vi and vj are adjacent in G or rij = 0, otherwise. The Randić energy is the sum of absolute values of the eigenvalues of R(G). In this paper we have investigated Randić energy of m-Splitting and m-Shadow graphs. We also have constructed a sequence of graphs having same Randić energy.

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